Factoring Polynomials When A Greater Than One

Find the factors of

5k² - 18k + 9

• (5k - 3)(k - 3)

• (3k + 5)(k - 10)

• (2k - 1)(k + 6)

• (5k + 7)(k + 6)

Find the factors of

5n² + 11n - 12

• (n - 4)(5n + 3)

• (5n - 4)(n + 3)

• (2n - 9)(n - 8)

• (3n + 10)(n + 10)

Factor 5x² - 28x + 32

• (3x - 10)(x + 6)

• (x - 8)(5x - 4)

• (5x - 8)(x - 4)

• (5x - 8)(x + 7)

Find the factors of

3b² + 17b + 20

• (2b - 5)(b - 7)

• (5b - 7)(b - 2)

• (b + 5)(3b + 4)

• (3b + 5)(b + 4)

Answer explanation

The monomial ALWAYS goes to the left of the parantheses.

Factor 16x² - 1

• (4x + 1)(4x - 1)

• (4x + 1)(2x - 1)(2x + 1)

• Prime!

• (8x + 1)(2x - 1)

Factor 4x⁴ - 81x⁶

• x²(4x² - 81x⁴)

• x⁴(9x - 2)(9x + 2)

• x⁴(2 - 9x)(2 + 9x)

• (2x² - 9x³)(2x² + 9x³)

Factor 6x² - 17x + 5

• (6x - 5)(x + 1)

• (3x - 5)(2x - 1)

• (2x - 5)(3x - 1)

• (6x - 1)(x - 5)

Answer explanation

The monomial ALWAYS goes to the left of the parantheses.

Factor: x² + 24x + 144

• (x + 12)²

• (x + 9)²

• (x + 15)²

• (x + 13)²