Algebra Polynomials and Factoring Review

Factor:
 2m² + 3m - 9

• 2(m + 3)(m - 3)

• (2m - 3)²

• (m + 3)(2m - 3)

• (2m + 3)(m - 3)

Find the factors of 5m² - 45m + 90

• 3(m + 1)(m + 8)

• 5(m - 3)(m - 6)

• 2(m - 7)(m + 3)

• 5(m - 5)(m + 3)

Solve by Factoring:
x² + 15x + 64 = 20

• {-8, 2}

• {-7, 5}

• {-11, -4}

• {-11}

Given f(x) = 3x² + 7x and g(x) = 2x² - x - 1, find (f + g)(x).

• 11x² - 1

• 5x⁴ + 6x² - 1

• 5x² + 6x - 1

• 5x² + 8x - 1

Given f(x) = 3x² - 2x + 1 and g(x) = x - 4, find (f⋅g)(x).

• 3x³ - 10x² - 7x - 4

• 3x³ - 14x² + 9x - 4

• 3x² - x - 3

• 3x³ + 14x² - 9x - 4

If f(x) = 3x-1 and g(x) = x²+2,

what is (f ° g)(x) ?

• 3x² +5

• x² +1

• 3x² +1

• 3x² +6

Add the following polynomials:

(x³ + 6x - 5) + (-6x² + 4x + 3)

• x³ - 6x² +10x - 8

• x³ - 6x² +10x + 2

• x³ - 6x² +10x - 2

• x³ + 4x - 2

Add the following polynomials:

(12x² + 3x⁴ - 6x - 2) + (-3x⁴ + 5x + 9 - 7x²)

• 5x² - x + 7

• 6x⁴ + 5x² - x + 7

• 6x⁴ + 5x² - x + 11

• 5x² + 11x + 11

Multiply the following polynomial by the monomial:

3x(4x² - x - 3)

• 12x² - 3x - 9

• 7x³ - 3x² - 6x

• 12x³ - 3x² - 9x

• 12x³ - 3x² - 6

Multiply the following polynomial by the monomial:

• -2x⁶ + x⁵ - 5x³

• -2x⁹ + x⁶ - 5x³

• -2x⁶ - x⁵ - 5x³

• -2x⁶ - x⁵ - 5