Introduction Factoring

Which of the following is a good definition for the Greatest Common Factor of a polynomial?

• The constants and variables that are the smallest

• The constants and variables that are the largest

• The largest combination of constants and variables you can "pull out" of a polynomial

• The common factor that is the greatest

Select the correct prime factorization for 36.

• 1 x 36

• 2 x 3³

• 3 x 2 x 6

• 4 x 3 x 3

• 2² x 3²

Factor the monomial completely: 12x³

• 2 * 6 * x * x * x

• 3 * 4 * x * x * x

• 2 * 2 * 3 * x * x * x

• 2² * 3 * x³

Select the correct prime factorization for 68.

• 2 x 34

• 4 x 17

• 2² x 17

• 2 x 2 x 34

Factor the monomial completely: -7x²y³

• -7(x)(x)(y)(y)(y)

• -1(7)(x)(x)(y)(y)(y)

• 7(x)(x)(y)(y)(y)

• -(7)(x²)(y³)

Factor the monomial completely: 54xy⁴

• 6(9)(x)(y)(y)(y)(y)

• 2(3)(9)(x)(y)(y)(y)(y)

• 2(3)(3)(3)(x)(y)(y)(y)(y)

• 2(27)(x)(y)(y)(y)(y)

Factor using GCF or monomial factoring: 2n²-8n³

• 2n²(n-4n²)

• 2n²(1-4n)

• 2n³(10-8n²)

• 3n(1-4n)

Factor out the GCF:
10x³ - 15x

• x(10x² - 15)

• 5x(2x² - 3)

• 5(2x³ - 3x)

• 5x²(10x - 3)

Factor:
80x⁵-70x²-60x⁷

• 2x²(80x³-70-60x⁶)

• 10x²(80x⁴-70x-60x⁶)

• 10x²(8x³-7-6x⁵)

• 3x²(80x³-40-60x⁵)

Factor 2x(5x - 3) - (5x - 3)

• (2x - 1)(5x - 3)

• (2x)(10x - 6)

• 2x(25x² - 9)

• (5x-3)² (2x)

Tags

CCSS.7.EE.A.1