Factoring Expressions into Binomials

Factor:

4x² - 121

• (2x + 11) (11 - 2x)

• (2x - 11) (2x - 11)

• (2x + 11) (2x + 11)

• (2x + 11) (2x - 11)

What is the first step when factoring polynomials?

• Look for a Greatest Common Factor

• See if it’s Difference of Two Squares

• See if it’s a trinomial

• Find the Product

Factor:

8r³ + 16r²

• 4r²(2r + 4)

• 8r²(r + 2)

• 8(r³ + r²)

• 4(r³ + 2r²)

What do you call a polynomial that cannot be factored?

• FOIL
• Simplified
• Prime
• Proper

Factor:
p² - 14p

• p(1 - 14)
• 2p(p - 7)
• p²(1-14)
• p(p - 14)

Factor completely:

x³ - 4x

• (x-4)(x²-4)

• x(x-2)(x+2)

• x(x-4)

• (x-2)(x+2)

Factor completely:

81m⁴ - 1

• (3m-1)²(3m+1)²

• (m²-9)(m²+9)

• (9m²+1)(3m-1)(3m+1)

• (9m²-1)(9m²+1)

Factor:

-21x + 35

• -7(3x - 5)

• 7(-21x² + 35)

• 28(-3x² + 5x)

• 7(3x - 5)

Factor:

x² + 4

• (x-4)(x+4)

• Prime

• (x+2)²

• (x-2)(x+2)