Unit 4 Study Guide

What is the conjugate of 20 - 7i?

• 20 + 7i

• -20 + 7i

• 20 - 7i

• -20 - 7i

Simplify i^21.

• i

• -i

• -1

• 1

What is the product of the complex numbers 4i (6 + 4i)?

• 24i + 16

• -24 + 16i

• 24 + 16i

• -24 - 16i

What is an equivalent form of (6 - 9i)^2?

• 36 - 108i + 81

• -36 + 108i - 81

• 36 + 108i + 81

• -36 - 108i + 81

Write an equivalent form of (3i - 2) - (2 - 6i)?

Write the quadratic expression in factored form: (x + 1)^2 - 49

• (x - 6)(x + 8)

• (x + 8)(x - 8)

• (x - 7)(x + 7)

• (x + 6)(x - 6)

Add: (12 + 6i) + (-6 + 13i)

• 6 + 19i

• 18 + 7i

• 6 + 7i

• 18 + 19i

Solve for x: 4x^2 + 3 = 0

• x = ±√(3/4)

• x = ±√(-3/4)

• x = ±3/2

• x = ±1/2

What is the solution for (2x^2 - 2x + 5 = 0)?

• x = 1/2 or x = -5

• x = 1 ± 2i

• x = -1/2 ± √19/2 i

• No real solution

What are the zeros of the polynomial function: (f(x) = x(x - 7)(x - 4))?

• x = 0, x = 7, x = 4

• x = 1, x = -7, x = -4

• x = 0, x = -7, x = 4

• x = 1, x = 7, x = -4