Quiz about Complex Number Review

Question 1

Add: (3 - 6i) + (-2 - 2i)

Accepted Answer

1-8i

Answer

5+8i

Answer

1+8i

Answer

-18-6i

Question 2

Subtract: (9 - 2i) - (-2 + 5i)

Accepted Answer

11 - 7i

Answer

7 - 7i

Answer

11 + 3i

Answer

7 + 3i

Question 3

Multiply: (2 + 4i)( -3 - 5i)

Accepted Answer

14 - 22i

Answer

-26 - 22i

Answer

14 + 2i

Answer

26 + 22i

Question 4

Simplify: 3/4i

Accepted Answer

3i/-4

Answer

12/i

Answer

3i/4

Answer

4i/-3

Question 5

Simplify: (5 - 2i) / 7i

Accepted Answer

(5i + 2) / -7

Answer

3i / -7

Answer

-3/7

Answer

(5i - 2) / -7

Question 6

Simplify: 2i / (5-3i)

Accepted Answer

(-6 + 10i) / 34

Answer

4i / (25 + 9i)

Answer

(6 + 10i) / 16

Answer

16i / 34

Question 7

Simplify: (1 - 6i) / (-2 + 3i)

Accepted Answer

(-20 + 9i) / 13

Answer

(-20 - 15i) / 13

Answer

(16 + 9i) / 13

Answer

29i / 13

Question 8

Given the complex number: (31 - 6i) / 5 , write as "a + bi " and identify a and b .

Accepted Answer

a = 31/5 ; b = -6/5

Answer

a = 31/5 ; b = 6/5

Answer

a = 31 ; b = -6

Answer

a = -31 ; b = 6

Question 9

Solve and write your answer in terms of i : 3x² + 48 = 0

Accepted Answer

x = 4i ; x = -4i

Answer

x = 16i ; x = -16i

Answer

x = 16i

Answer

x = 4i

Question 10

When plotting (-6 + 2i) in the complex plane, which quadrant will it be in?

Accepted Answer

2

Answer

1

Answer

3

Answer

4

Question 11

If a complex number plotted in the complex plane is in quadrant 4, then...

Accepted Answer

a is positive and b is negative.

Answer

a is positive and b is positive.

Answer

a is negative and b is positive.

Answer

a is negative and b is negative.

Question 12

How many zeros does the polynomial P(x) have? P(x)=x⁴+3x-1

Accepted Answer

4

Answer

2

Answer

3

Answer

5

Question 13

Factor and find all of the zeros of the polynomial f(x)=x³-2x²+25x-50

Accepted Answer

x = 2, -5i, 5i

Answer

x = 2, -5, 5

Answer

x = 2, -25i, 25i

Answer

x = 0, 2, 25

Question 14

Factor and find all of the zeros of the polynomial f(x)=x⁴-4x³+13x²

Accepted Answer

x = 0, 2+3i, 2-3i

Answer

x = 0, -2+3i, -2-3i

Answer

x = 2+3i, 2-3i

Answer

x = -2+3i, -2-3i

Question 15

Which of these could be a graph of y=(x²-4)(x²+4)?

Accepted Answer

C

Answer

A

Answer

B

Answer

D

Question 16

Write an equation for a polynomial of degree 3 with zeros 5 and -i.

Accepted Answer

P(x)=x³-5x²+x-5

Answer

P(x)=x³-5x²-x+5

Answer

P(x)=x²-4x-5

Answer

P(x)=x²-8x+15

Question 17

Write an equation for a polynomial of degree 4 with zeros -2, 2, and 3i.

Accepted Answer

P(x)=x⁴+5x²-36

Answer

P(x)=x⁴-x²-12

Answer

P(x)=x⁴+x²-3

Answer

P(x)=x⁴+5x²

Complex Number Review

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