Quiz 3-2 Review

Find the zeros of the function by factoring. Type them from least to greatest.

f(x) = 2x³ + 5x² - 7x

Find the zeros of the function by factoring. Type them from least to greatest.

f(x) = 4x³ + 16x² - 25x - 100

Give the zeros and their multiplicities.

ƒ (x) = x² (x − 9) (2x + 5)²

• 0; multiplicity of 2

• -5/2; multiplicity of 2

• 5/2; multiplicity of 2

• 9; multiplicity of 1

Give the zeros and their multiplicities.

f(x) = x⁵ + 6x⁴ + 9x³

• 0; multiplicity of 3

• 0; multiplicity of 2

• -3; multiplicity of 2

• -9; multiplicity of 1

Divide using long division or synthetic division.

(4x³ - 3x² + 20x - 20) ÷ (4x − 3)

Divide using long division or synthetic division.

(10x³ - x² - 29x - 30) ÷ (x² - x - 2)

Using the Remainder Theorem, evaluate f(x) at c.

ƒ(x) = 4x³ + 10x² - 15x – 21; c = 2

Using the Remainder Theorem, evaluate f(x) at c.

f(x) = 3x⁴ - 9x³ – 24x − 48; c = 4

Use the Factor Theorem to determine if the given binomial is a factor of f(x).

f(x) = 3x³ + 13x² - 32x - 12; (x+4)

• Yes

• No

Use the Factor Theorem to determine if the given binomial is a factor of f(x).

f(x) = 2x⁴ - 7x³ - 23x² + 28x + 60; (x - 5)

• Yes

• No