Factoring Polynomials Concepts

Factor:
x² -15x + 36

• (x - 18)(x + 2)

• (x - 12)(x - 3)

• (x - 12)(x + 3)

• (x + 18)(x - 2)

Factor completely: 3x² + 18x +15
Hint: Factor GCF first.

• 3(x² + 6x + 5)

• (x + 5)(x + 1)

• 3(x + 5)(x + 1)

• Prime

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)

Find the factors of

x² - 5x - 36

• (x + 4)(x - 9)

• (x - 4)(x + 9)

• (x - 9)(x + 6)

• (x + 4)(x + 9)

Find the factors of

2b² + 14b - 16

• 2(b - 1)(b + 8)

• 6(b - 1)(b - 5)

• 2(b + 1)(b - 8)

• 2(b - 1)(b - 8)

Find the factors of

3b² + 17b + 20

• (2b - 5)(b - 7)

• (5b - 7)(b - 2)

• (b + 5)(3b + 4)

• (3b + 5)(b + 4)

Find the factors of

2x² + 21x + 10

• (2x + 1)(x + 10)

• (3x + 10)(x - 6)

• 2(x + 1)(x + 5)

• 2(x + 1)(x - 10)

Find the factors of

2m² + 11m + 12

• (2m + 3)(m - 4)

• 2(m + 3)(m - 2)

• (2m + 3)(m + 4)

• (2m - 3)(m + 4)

Which step is NEVER used when factoring polynomials? Select all the apply.

• Multiplying the first and the last term

• Factoring out the GCF

• Finding the factors of the middle term

• Find the sum of the factors that equal the middle term

• Find the square root of the last term