Factoring Polynomials Greater Than One

Factor 2x² + 11x + 5

• (2x + 1)(x + 5)

• (2x + 11)(x + 1)

• (2x + 1)(x + 11)

• (2x + 5)(x + 1)

Factor x² + 9x + 14

• (x + 1)(x + 14)

• (x + 2)(x + 9)

• (x + 1)(x + 7)

• (x + 2)(x + 7)

Factor x² - 10x + 24

• (x + 3)(x - 8)

• (x - 3)(x - 8)

• (x - 4)(x - 6)

• (x - 4)(x + 6)

Check all polynomials that are factored completely.

• 2x² + 3x - 9 = (2x - 3)(x +3)

• 5x² + 19x + 12 = (5x +4)(x + 3)

• 16x² + 60x - 100 = (4x + 20)(4x - 5)

• 15x² - 27x - 6 = 3(5x + 1)(x - 2)

Factor Completely: 6x² + 7x - 3

• (2x + 3)(3x-1)

• (2x - 3)(3x + 1)

• (2x + 3)(6x - 2)

• (3x - 3)(2x + 1)

Factor:
5v² − 30v + 40 

• 5(v − 2)(v − 4) 

• (v − 2)(v − 4) 

• 3(v-1)(v-7)

• (v-1)(v-7)

Factor:
 2m² + 3m - 9

• 2(m + 3)(m - 3)

• (2m - 3)²

• (m + 3)(2m - 3)

• (2m + 3)(m - 3)

What does it mean to factor a polynomial completely?

• Writing it as a product of polynomials of lower degree

• Finding the GCF of all terms

• Writing it as a product of prime numbers

• Writing it as a product of its irreducible factors

Which of the following expressions is equivalent to 2x^2-3x-5?

• (2x + 1)(x + 5)

• (2x + 1)(x - 5)

• (2x - 5)(x + 1)

• (2x + 5)(x - 1)

Factor completely: 2x² - 3x - 2

• (2x - 2)(x + 1)

• (2x + 1)(x - 2)

• (2x - 1)(x - 2)

• (2x - 1) (x - 1)