Factoring (With GCF and "a" greater than 1)

What is the gcf of the expression 15x³ + 25x² - 5?

• 5x³

• 5

• 5x

• 5x²

What is the definition of gcf?

• Biggest number/variable that all terms have in common

• Biggest number that all terms have in common

• Smallest number/variable that all terms have in common

• Smallest number that all terms have in common

Identify the gcf for the pair of monomials: 12a⁴b³c², 20a³bc²

• 4a⁴b³c²

• 4a³bc²

• 4abc

• 4a³bc²

Factor out the gcf of the trinomial 3v² - 27v - 30

• 3

• 3v

• -3v

• -3

Factor 3mn - 6n²

• 3n(m - 2)

• 3m(n - 2n²)

• 3m(n - 2)

• 3n(m - 2n)

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)

Factor 2x² + 11x + 5

• (2x + 1)(x + 5)

• (2x + 11)(x + 1)

• (2x + 1)(x + 11)

• (2x + 5)(x + 1)

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 4x² - 35x + 49

• (4x + 7)(x - 7)

• (4x - 7)(x + 7)

• (4x - 7)(x - 7)

• (4x + 7)(x + 7)