Factoring Monomials from Polynomials

Simplify the following expression.
3ab(5a² – a – 2) + 2a(b + 1)

• 15a³b – 3a²b – 4ab + 2a

• 15ab – 3a² + 4ab²

• 15a³ – a²b – 4ab

• 8a³b – 3a²b – 2ab + a

Tags

CCSS.6.EE.A.3

-5x⁶(3x² - 12x + 30)

• -15x⁸ + 60x⁷ - 150x⁶

• 15x⁸ - 60x⁷ - 150x⁶

• 8x⁶ - 17x + 35

• -8x⁶ + 17x - 35x²

Tags

CCSS.HSA.APR.A.1

Refers to common factor having the greatest numerical factor and with variables having the least degree.

• Difference of Two Squares

• By Grouping

• Greatest Common Factor

• Perfect Square Trinomials

Factor out the GCF:
10x³ - 15x

• x(10x² - 15)

• 5x(2x² - 3)

• 5(2x³ - 3x)

• 5x²(10x - 3)

Factor out the GCF:
12x + 6

• 6(2x + 1)

• 3(4x + 2)

• 6x(2x + 1)

• 2(6x + 3)

Tags

CCSS.7.EE.A.1

Factor: 63 + 45p

• 9(7 + 5p)

• 5(9 + 7p)

• 9p(7 + 5p)

• 7(9 + 5p)

Tags

CCSS.7.EE.A.1

Factor out the GCF

3x³ + 9x

• 3x (x² + 3)

• 3x ( x³ + 9)

• x (3x² + 9)

• 3x (x³ + 3x)