Cumulative Polynomial Equations and Factoring

The trinomial 4x² -20x + 25 is factorable. Which of these is the correct factorization?

• (2x+5)(2x-5)

Which function is equivalent to: h(x)= 3x² + 10x - 8?

• h(x)=(3x + 2)(x + 4)

• h(x)=(7x + 5)(x + 2)

• h(x)=(3x - 2)(x + 4)

• h(x)=(7x - 3)(x - 4)

Factor 2x² + 4x – 3x – 6 by grouping. Remember to look for Standard Form, then for common factors.

• (2x – 3)(x + 2)

• 2x² + x - 6

• (2x + 3)(x - 2)

Factor x³ – 2x – 4x² + 8 by grouping. Remember to look for Standard Form, then for common factors.

• x³ - 4x² - 2x + 8

• (x – 4)(x² – 2)

• (x – 2)(x² – 4)

Factor by grouping:

5n³-10n²+3n-6

• (5n²+3)(n-2)

• (5n³+3)(n-2)

• (5n²-3)(n-2)

• 10n(n²-6)

Factor
n²-13n+40

• (n-5)(n-8)

• (n+5)(n-8)

• (n-5)(n+8)

• (n+6)(n+1)

x⁶ - 400

• ( x³ - 200) ( x³ + 200)

• ( x² + 20) ( x² + 20)

• ( x - 20) ( x + 20)

• ( x³ - 20) ( x³ + 20)

x⁴ - 100y²

• (x² + 10y) (x² - 10y)

• (x + 10y) (x - 10y)

• (x + 10y) (x³ - 10y)

• (x³ + 10y) (x - 10y)

Factor:   x³ + 1

• (x + 1)³

• (x+1)(x² - x + 1)

• (x - 1) (x² + x - 1)

• (x + 1)(x² - 2x + 1)

Factor: 8x³ - 1

• (2x - 1)(4x² + 2x + 1)

• (2x + 1)(4x² - 2x + 1)

• (2x - 1)(4x² - 2x - 1)

• (2x + 1)(4x² +2x + 1)