Factoring and Polynomial Review Algebra

Factor Out GCF

40y⁴-24xy²-56y²

• 2y²x(20y²-12x-8)

• 4(10y⁴-6xy²-14y²)

• 8y²(5y²-3x-7)

• 8(5y⁴-3xy²-7y²)

Factor Out GCF

56 - 35p

• 7(8-5p)

• 7p(8-5)

• p(56-35)

Factor Out GCF

14x²y²z + 21xy²z²

• xy²z(14x+21z)

• 7(x²y²z+xy²z²)

• 7xy²z(2x+3z)

Factor Out GCF

12w³t² - 9wt² + 15w²t³

• 3wt²(4w²-3 + 5wt)

• 3(w³t²-3wt²+5w²t³)

• wt²(12w²-9 + 15wt)

Factor each with Leading Coefficient a=1

k² -2k - 24

• (k+4)(k-6)

• (k+4)(k+6)

• (k+6)(k-1)

• (k-4)(k+6)

Factor each with Leading Coefficient a=1

n² + 16n + 63

• (n-7)(n+4)

• (n+7)(n-9)

• (n-3)(n-10)

• (n+7)(n+9)

Factor each with Leading Coefficient a=1

k² -2k - 24

• (k+4)(k-6)

• (k+4)(k+6)

• (k+6)(k-1)

• (k-4)(k+6)

Factor out a GCF, then Factor again (With Leading Coefficient a=1)

4x² + 8x - 60

• (4x-12) (x+5)

• (4x+20) (x-3)

• 4(x-3) (x+5)

• PRIME

Factor out a GCF, then Factor again (With Leading Coefficient a=1)

2x³ - 20x² - 48x

• 2x(x+2) (x-12)

• 2x(x²-10x-24)

• (2x²+2) (x-12)

• PRIME

Factor by grouping

x³ - 4x² -4x + 16

• (x+4)(x+2)

• (x-4)(x² -4)

• (x+4)(x² -4)

• (x-4)(x-2)