Factoring Review

Factor out the greatest common factor of 12x^2 - 18x.

• 6x(2x - 3)

• 4x(3x - 2)

• 3x(4x - 6)

• 2x(6x - 9)

Factor out the greatest common factor of 15a^3 - 10a^2 + 5a.

• 5a(3a^2 + 2a + 1)

• 5a(3a^2 - 2a + 1)

• 5a(3a^2 - 2a - 1)

• 3a(5a^2 - 2a + 1)

Factor out the greatest common factor of 24m^2n - 36mn^2 + 60mn.

• 12mn(2m - 3n + 5)

• 6mn(4m - 6n + 10)

• 24m^2n - 36mn^2 + 60mn

• 12mn(2m + 3n - 5)

Factor the trinomial: x^2 + 7x + 10.

• (x+5)(x+2)

• (x+8)(x+5)

• (x+3)(x+4)

• (x+6)(x+1)

Factor the trinomial: 2x^2 - 9x - 5.

• (2x - 1)(x + 5)

• (2x + 1)(x - 5)

• (2x + 1)(x + 5)

• (2x - 1)(x - 5)

Factor the trinomial: 3x^2 + 8x + 4.

• (3x - 2)(x - 2)

• (3x + 4)(x + 1)

• (3x + 1)(x + 4)

• (3x + 2)(x + 2)

Factor by grouping: 2x^3 + 3x^2 - 2x - 3.

• 2x^2(x + 3) + 1(x - 3)

• 2x^2(x + 3) - 1(x + 3)

• 2x^2(x - 3) + 1(x + 3)

• 2x^2(x - 3) - 1(x - 3)

Factor by grouping: 4a^2b - 2ab^2 + 3a - 6b.

• 4a(2ab - b^2 + 3) - 6b

• 2a(2ab - b^2) + 3a - 6b

• 4a(2ab - b^2) - 3(2ab - b^2 + 3)

• 2a(2ab - b^2 + 3) - 3(2ab - b^2 + 3)

Factor the difference of squares: 16x^2 - 25y^2.

• ((4x)^2 - (5y)^2) = (4x + 5y)(4x - 5y)

• (4x + 5y)(4x + 5y)

• (4x + 5y)^2

• (4x - 5y)^2

Tags

CCSS.HSA.APR.C.4

Factor the difference of squares: 9a^2 - 4b^2.

• (3a - 2b)^2

• (3a + 2b)(3a + 2b)

• (3a + 2b)^2

• (3a + 2b)(3a - 2b)

Tags

CCSS.HSA.APR.C.4