Factoring Methods

Factor out the GCF:
10x³ - 15x

• x(10x² - 15)

• 5x(2x² - 3)

• 5(2x³ - 3x)

• 5x²(10x - 3)

Factor x² - 49

• (x - 7)(x + 7)

• (x - 7)(x - 7)

• (x + 7)(x + 7)

• Does not factor

Factor
k²+7k+10

• (k+2)(k+5)

• (k-2)(k-5)

• (k+10)(k+4)

• (k+2)(k-5)

Factor
k² -2k - 24

• (k+4)(k-6)

• (k+4)(k+6)

• (k+6)(k-1)

• (k-4)(k+6)

If a = 4x and b = 5, write a SUM of Cubes Problem that would need to then be factored.

Mathematical Equivalence

ON

Match each polynomial with the correct label for factoring.

• Sum of

  Two Cubes

• Sum of Two Squares

• Difference of

  Two Cubes

• Difference of

  Two Squares

• GCF Only

Factor:
v² + 3v - 88

• (v + 11)(v - 8)

• (v + 22)(v - 4)

• (v + 8)(v - 11)

• (v - 22)(v + 4)

Factor out the GCF:
12x + 6

• 6(2x + 1)

• 3(4x + 2)

• 6x(2x + 1)

• 2(6x + 3)