Factoring Polynomials AC Method and Grouping

What method should you use to factor the polynomial?

x² - 36

• Factor by Grouping

• Factor out the GCF

• Difference of Squares

• Difference of 2 Cubes

What method should you use to factor the polynomial?

• Factor by Grouping

• Factor out the GCF

• Difference of Squares

• Trinomials (ac,b,T-chart)

Factor:   x³ + 512

• (x + 8)(x² - 8x + 64)

• (x + 8)(x² + 8x -64)

• (x-8)(x + 2)

• (x - 8)(x² - 8x - 64)

Write 4x³ +2x²-6x in factored form.

• 2x(2x-3)(x+1)

• 4x(2x+3)(x-1)

• 2x(2x+3)(x-1)

• 4x(2x-3)(x+1)

Mathematical Equivalence

ON

3x² - 75

• 3( x + 5 ) ( x - 5 ) 

• Prime

• ( x + 5 ) ( x - 5 ) 

• 3( x - 5 ) ( x - 5 ) 

Factor by grouping:

4p³ + 8p² + 3p + 6

• (2p²+3)(p+2)

• (2p²+6)(p+4)

• (4p²+3)(p+2)

• (4p²+8p)(3p+6)

Factor by grouping:
x³+7x²-2x-14

• (x²-2)(x-7)

• (x²+2)(x-7)

• (x²+2)(x+7)

• (x²-2)(x+7)

What is ALWAYS the first step when factoring?

• Look for the GCF

• Write a, b, and c

• Difference of squares

• Group