Complex Expressions and Equations
140 videos • 245 views • by Ms Shaws Math Class
1
Simplify complex expression with factoring formulas
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2
Simplify an expression with complex numbers i
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3
Given Complex Zeros Find The Remaining Zeros Of Polynomial. Synthetic Division
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4
Given Complex Zeros Find The Remaining Zeros Of Polynomial. Synthetic Division
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5
Form a Polynomial with real Coefficients Given Degree And Zeros. 1+2i; -2 multiplicity 2
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6
Form a Polynomial with real Coefficients Given Degree And Zeros. Complex
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7
Form a Polynomial with real Coefficients Given Degree And Zeros. Complex
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8
Form a Polynomial with real Coefficients Given Degree And Zeros. 3-2i; -1 multiplicity 2
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9
Form a Polynomial with real Coefficients Given Degree And Zeros. Complex
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10
Form a Polynomial with real Coefficients Given Degree And Zeros. Complex
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11
Given Complex Zeros Find The remaining Zeros Of Polynomial. Synthetic Division
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12
Given Complex Zeros Find The Remaining Zeros Of Polynomial with Synthetic Division
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13
Introducing Complex Numbers
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14
How To find Complex zeros. The fundamental theorem of algebra
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15
Given i^n find values given remainder equals 0, 1, 2, 3 Complex Numbers
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16
How to factorize with complex numbers and radicals
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17
Simplify expressions with radicals and complex numbers. Sqrt(-252/4), sqrt(-98)
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18
Simplify expressions with radicals and complex numbers (-3sqrt(-5))^2, 3i 6i^3 and (2i 3i^2)^2
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19
Simplify expressions with radicals and complex numbers. 2i(4i^3)^2 and , (-i^3)(i^2)^3
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20
Simplify expressions with radicals and complex numbers. (4+6i) - (2- 7i)
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21
Simplify expressions with radicals and complex numbers. (3+ 2i)^2 and (5 - 3i)(5+ 3i)
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22
Simplify expressions with radicals and complex numbers i (5i) + i(7 -i) and 2(3+ 2i) + 3(1 -i)
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23
Simplify expressions with radicals and complex numbers sqrt(-48) and 6 sqrt(-12)
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24
Simplify expressions with radicals and complex numbers sqrt(-8/3) and sqrt(-2/7)
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25
Simplify expressions with radicals and complex numbers i^42, i^91, i^21, i^101, i^96
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26
Simplify expressions with radicals and complex numbers (7-6i) + (9+11i) , (5+ sqrt(-8)) + (-13 +(-2)
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27
Simplify expressions with radicals and complex numbers. 4(7 - i ) -5(2 - 6i)
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28
Simplify expressions with radicals and complex numbers (3 -4i)^2 and (sqrt(5) + 2i)^2
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29
Simplify expressions with radicals and complex numbers (6-4i)(6+4i) and (8-sqrt(-11))(8+sqrt(-11))
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30
Simplify expressions with radicals and complex numbers (4+3i)(2-5i)(4-3i)
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31
Solve equations with complex solutions. 6y^2 +42=0 and 4r^2+ 64= 0 and m^2 +10 = 0
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32
Find values x and y for 3x - 5yi = 15 -20i and sqrt(3) x + 7yi = 6 - 2i. Complex numbers
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33
Determine the conjugate and the product of each complex number. 8-2i, 6+3i, 5-4i and more
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34
Simplify each expression with complex numbers. 5 /(3+I) and (6-4i)(6+4i)
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35
Simplify each expression with complex numbers. (7-13i)/2i and (3+i sqrt (5))/(3- i sqrt (5))
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36
Simplify each expression with complex numbers. (4- i sqrt (2))/(i sqrt (2)) and (sqrt(6) +i sqrt (3)
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37
Simplify each expression with complex numbers (2-4i)/(1+3i) and (3-i)/(2-i)
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38
Simplify each expression with complex numbers (6+5i)/(-2i) and (1+6i)/(5i)
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39
Simplify each expression with complex numbers (3-6i)/(-4i) and (2+7i)/(-5i)
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40
Simplify each expression with complex numbers 3/(6+4i) and 2/(7-8i)
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41
Simplify each expression with complex numbers 3/(sqrt(2) - 5i) and (2+i sqrt (3))/(1 + sqrt (3))
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42
Simplify each expression with complex numbers (1-2i)^2/(2-i)^2 and (2+i)/(1-i)^2
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43
Simplify each expression with complex numbers 3/(sqrt(5)+2i) and (2-i)/(sqrt(2) + 2i)
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44
Simplify each expression with complex numbers (1+3i)^2/(4-i)^2 and (2-i sqrt(3))/(1+ i sqrt (3))
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45
Find the multiplicative inverse of each complex number 5+ 2i and 3- i
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46
Find the multiplicative inverse of each complex number i/(7+4i) and (-6)/(4-5i)
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47
Find the multiplicative inverse of each complex number i/(7+4i) and (-6)/(4-5i)
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48
Simplify rational expression (c^3 + 3c^2)/(c+5)^2 times (c^2 -25)/c^2 by multiplying
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49
Simplify complex rational expression (y^4-81)/(xy + 4y +3x +12)/(y^2+9) by dividing
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50
Simplify complex rational expression (x^3y^2z)/(a^2b^2)/(a^3x^2y)/(b^2)
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51
Simplify complex rational expression (x^3 +2^3)/(x^2-2x)/(x+2)^3/(x^2+4x +4)
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52
Simplify complex rational expression (x^4y^2z^3)/(x^2-4)/(x^8y^4z)/(x+2) by dividing
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53
Simplify complex rational expression (3x+6)/(x^2-9)/(6x^2+12x)/(4x+12) by dividing
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54
Simplify complex rational expression (x^2-5x-24)/(6x+2x^2) times (5x^2)/(8-x) by multiplying
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55
Simplify complex rational expression (2x^2+9x+9)/(x+1)/(10x^2+19x+6)/(5x^2+7x+2) by dividing
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56
Simplify complex rational expression (x^3/y^3)/(x^2/y^2) by dividing
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57
Simplify complex rational expression (a-y)/(w+n) times (w^2-n^2)/(y-a) by multiplying
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58
Simplify complex rational expression n^5/(n-6) times (n^2-6)/n^8 by multiplying
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59
Simplify complex rational expression (c^2-3c)/(c^2-25) times (c^2+4c-5)/(c^2 -6c+9) by multiplying
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60
Simplify complex rational expression (b^2-100)/b^2/(3b^2 -31b+10)/2b by dividing
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61
Simplify complex rational expression (x^2-4)/(x+3)/(x^2-4x+4)/(x^2+3x) by dividing
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62
Simplify complex rational expression (x^2-9)/(x^2 +x -12) times (x+2)/(x+3) by multiplying
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63
Simplify complex rational expression (x^2-9)/(4)/(3-x)/(8) by dividing
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64
Simplify complex rational expression (x+y)/6 divided by (x^2 -y^2)/3
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65
Simplify complex rational expression (a^5y^3)/(wy^7) divided bu (a^3w^2)/(w^5y^2)
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66
Simplify complex rational expression (m-3)^2/(m^2-6x +9) times (m^3-9m)/(m^2 -9)
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67
Simplify complex rational expression 1/(x-3) divided by 2x/((x+2)(x+3))
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68
Simplify complex rational expression (a+y)/6 times 4/(y+a) and (a-y)/6 times 4/(y-a)
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69
Simplify complex rational expression (2xy/w^2)^3 divided by 24x^2/w^5
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70
Simplify complex rational expression 2/(x-3) - 1/(x-1) by subtracting
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71
Simplify complex rational expression (x+4)/(2x-8) - (x+12)/(4x-16) by subtracting
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72
Simplify complex rational expression 3/(x+2) + (4x +5)/(3x +6) by addition. LCD
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73
Simplify complex rational expression (2p-3)/(p^2 -5p+6) - 5/(p-9) by subtracting. LCD
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74
Simplify complex rational expression c + 2/(c+1) by addition. LCD
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75
Simplify complex rational expression (2-5m)/(m-9) + (4m -5)/(9-m) by addition. LCD
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76
Simplify complex rational expression (1/a + 1/b)/(1/a-1/b) by adding subtracting. LCD
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77
Simplify complex rational expression (3x+3)/(x^2 +2x +1) + (x-1)/(x^2-1) by addition and division
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78
Simplify complex rational expression 5/6ab - 7/8a by subtracting and LCD
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79
Simplify complex rational expression 16/(x^2-16) + 2/(x+4) by addition. LCD
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80
Simplify complex rational expression (-7xy)/3x + (4y^2)/2y by addition. LCD
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81
Simplify complex rational expression (4a)/(3bc) + (15b)/(5ac) by addition. LCD
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82
Simplify complex rational expression (7a)/(a^2 -p^2) - 1/(a-p) by subtracting. LCD
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83
Simplify complex rational expression 2x -5 - (x-8)/(x+4) by subtracting. LCD
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84
Simplify complex rational expression 4/(a-3) + 9/(a-5) by addition. LCD
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85
Simplify complex rational expression ((r+6)/r - 1/(r+2))/((r^2+4r +3)/(r^2+r)) by dividing. LCD
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86
Simplify rational expression 1/5n - 3/4 + 7/10n by addition and subtraction. LCD
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87
Simplify rational expression 4/(m+1) + 3/(m-2) by addition. LCD
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88
Simplify complex rational expression (n+5 - 12/(n+1))/((n+9)/(n+1) -5/n) subtraction and dividing
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89
Simplify rational expression 5/(2x-12) - 20/(x^2 -4x -12) by subtracting. LCD. Factoring
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90
Simplify complex rational expression (x - 5x/(x+2))/((x-3)/x) by subtraction and division. LCD
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91
Simplify complex rational expression (2/(x-y) + 1/(x+y))/(1/(x-y)). Adding and dividing. LCD
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92
Solve the rational equation 4/(x-1) = (x+1)/12
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93
Solve the rational equation 12/x + 3/4 =3/2
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94
Solve the rational equation (4t-3)/5 - (4 -2t)/3 = 1
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95
Solve the rational equation (3m +2)/5m + (2m -1)/2m = 4
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96
Solve the rational equation (x +10)/(x^2 -2) = 4/x
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97
Solve the rational equation x/(x -2) + 4/(x -2) = 10
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98
Solve the rational equation x^2/8 -4 = x/4
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99
Solve the rational equation 2y/3 - (y+3)/3 = 2
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100
Solve the rational equation (2x +1)/3 - (x-5)/4 = 1/2
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101
Solve the rational equation x/(x +2) + x = (5x +8)/(x + 2)
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102
Solve the rational equation 9/10 + 2/(x +1) = 2/5
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103
Solve the rational equation 1/(3x -2) + 5/x =0
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104
Solve the rational equation 3/4 - 3m/(4m +6) = 8
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105
Solve the rational equation 5/(x -5) = x/(x -5) -1
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106
Solve the rational equation (x +1)/(x -3) = 4 - 12/(x^2 -2x -3)
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107
Solve the rational equation 6/(x -1) = 4/(x -2) + 2/(x +1)
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108
Solve the rational equation 10/(m^2 -1) + (2m -5)/(m-1) = (2m +5)/(m +1)
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109
Solve the rational equation 1/(x +2) + 1/(x -2) = 3/(x +1)
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110
Solve the rational equation 1/(x -1) = 2/(x +1) - 1/(x +3)
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111
Solve the rational equation 1/(x -1) = 2/(x +1) - 1/(x +3)
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112
Find the area of the third face of rectangular box given the area of two faces and volume of box
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113
Write complex number in standard form (a + bi) when z = sqrt(12) {cos (-pi/3) + i sin(-pi/3)}
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114
Write complex number in standard form (a + bi) when z = 2(cos pi/3 + i sin pi/3).
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115
Write complex number in trigonometric form z = cos pi/5 - i sin pi/5.
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116
Write complex number in trigonometric form z = -2(cos pi/6 + i sin pi/6)
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117
Write complex number in trigonometric form z = cos x - i sin x.
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118
Write complex number in trigonometric form z = 4.
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119
Write complex number in trigonometric form z = 3i.
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120
Write complex number in trigonometric form z = 1-i
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121
Write complex number in trigonometric form z = 3 + 2i.
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122
Write complex number in trigonometric form z = -2 -2sqrt(3)i
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123
Given complex number z = (1+i)/(1-i), find minimum value of positive integer n such that z^n =1
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124
Find maximum value of positive integer n (n less than 10) given complex number z= -1 + sqrt(3)i. z^n
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125
Given complex number z such that z + 1/z = 1, find value of (1/z)^6. De Moivre’s Theorem.
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126
Simplify complex number to trigonometric form. De Moivre’s Theorem ((1+i)/2)^12 - ((1-i)/2)^12.
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127
Simplify complex number to trigonometric form. De Moivre’s Theorem ((1+i)/(sqrt(3) + i)^12
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128
Simplify complex number to trigonometric form. z= (cos 2x + i sin 2x)^3/(cos 3x +i sin 3x)^2.
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129
Use De Moivre’ Theorem to find power of complex number (1 - sqrt(3) i)^(-10). Standard Form
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130
Use De Moivre’s Theorem to find power of complex number (1+ i)^4. Standard form
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131
Use De Moivre’s Theorem to find the power of complex number sqrt(2)(cos 10 + i sin 10)^(-6).
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132
Use De Moivre’s Theorem to find power of complex number (cos 5 + i sin 5)^6. Standard form
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133
Use De Moivre’s Theorem to find power of complex number (cos pi/6 + i sin pi/6)^3. Standard form
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134
Given two complex numbers z_1 = 2a -2b +bi and z_2 = a + 2 + bi. Find real numbers a and b
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135
Write complex number in trigonometric form z_1 = 1-i, z_2 = -1 + sqrt(3) i when z_1 divided by z_2
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136
Write complex number in trigonometric form when z = -1 + sqrt(3) i for z^2.
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137
Write complex number in trigonometric form z_1 = 1 -I, z_2 = -1 + sqrt(3) i for z_1 times z_2
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138
Find all solutions of the fourth root of 8(-1 + sqrt(3))i. De Moivre’s Theorem.
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139
Find all solutions of the fourth root of -16. De Moivre’s Theorem. Complex roots
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140
Find all solutions of cube root of i. De Moivre’s Theorem. Complex roots.
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