Factoring Algebra Polynomials

Factor:
56a³-8a

• 8a²(56a³-8a)

• 8a(7a²-1)

• 8a(7a³-a)

• 8a²(35a²-a)

Factor:
6m² + 16m

• 2(3m² + 8m)

• 2m(3m + 8)

• 2m(3m - 8m)

• not factorable

Match each polynomial with the correct label for factoring.

• Sum of

  Two Cubes

• Difference of

  Two Squares

• Difference of

  Two Cubes

• GCF Only

• Sum of Two Squares

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

Mathematical Equivalence

ON

Factor Completely

3x² + 18x +15

Hint: Factor GCF first.

• 3(x² + 6x + 5)

• (x + 5)(x + 1)

• 3(x + 5)(x + 1)

• Cannot be factored

Factor Completely

x⁴-9x²

Hint: Factor GCF first.

• x²(x+3)(x-3)

• (x²+3x)(x²-3x)

• (x²+9)(x-3)(x+3)

• x²(x²-9)

Factor x³ + 2x² - 49x - 98 

• (x² - 49) (x + 2) 

• (x² - 49) (x + 2) (x + 2) 

• (x + 7) (x - 7) (x + 2) 

Factor

3x² - 7x + 2

• (x - 1) (3x + 2)

• (x - 2) (3x -1)

• (x - 1) (3x - 2)

• (x + 2) (3x + 1)