Factoring and Polynomial Review Algebra

Factor
n² + 16n + 63

• (n-7)(n+4)

• (n+7)(n-9)

• (n-3)(n-10)

• (n+7)(n+9)

Factor
4n²-17n+15

• (n-10)(6n+1)

• (4n-5)(n-3)

• (n-5)(4n-3)

• (n-5)(4n+3)

Factor
9x²-6x-8

• (3x+2)(3x-4)

• (3x+2)(3x+4)

• (3x-2)(3x-4)

• (x-1)(9x+8)

Factor: x² – 5x – 24

• (x - 5)(x + 19)

• (x - 8)(x + 3)

• (x - 3)(x + 8)

• (x - 19)(x + 5)

Factor the Polynomial 2x³ + 5x² + 6x + 15

• (x² + 3) (2x + 5)

• (x² - 3) (2x - 5)

• (2x² - 3) (x - 5)

• (2x² + 3) (x + 5)

Factor 4b⁵+4b³+16b²

• 4b³(b⁴+b²+4b)

• 4b³(b⁴+4b+5)

• 4(b⁵+b³+4b²)

• 4b²(b³+b+4)

Match each polynomial to its factored form.

• (x + 8)(x + 2)

• (x - 3)(3x + 5)

• (8x - 1)(8x + 1)

Factor:

2n² - 8n³

• 2n²(n - 4n²)

• 2n²(1 - 4n)

• 2n³(10 - 8n²)

• 3n(1 - 4n)

Identify which polynomial is a sum of cubes and difference of cubes.

a

b

Difference of Cubes

Sum of Cubes

Factor: 2n² - 8n³

• 2n²(n - 4n²)

• 2n²(1 - 4n)

• 2n³(10 - 8n²)

• 3n(1 - 4n)