Polynomials and Factoring Unit Review Vocab

What is the first question you ask yourself when factoring a polynomial? 

• How many terms does it have? 

• Is there a GCF? 

• What strategy should I use? 

• Why do I have to learn this?!?!?!

Factor
81m² - 1 

• not factorable

• (m-9)(m+9)

• 9m(9m-1)

• (9m-1)(9m+1)

Factor Completely:
3x² + 18x +15
Hint: Factor GCF first.

• 3(x² + 6x + 5)

• (x + 5)(x + 1)

• 3(x + 5)(x + 1)

• Prime

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)

x² - 25

• ( x + 5 ) ( x - 5 ) 

• ( x - 5 ) ( x - 5 ) 

• ( x + 5 ) ( x + 5 ) 

• Prime

Factor:
x² + 2x - 24

• (x - 6)(x + 4)

• (x + 6)(x + 4)

• (x - 6)(x - 4)

• (x + 6)(x - 4)

Mult (2x + 3)(3x + 4)

• 6x² + 17x + 7

• 6x² + 17x + 12

• 6x² + 8x + 12

• 6x² + 9x + 12

(x - 7)(x + 7)

• x^2 + 7x - 49

• x^2 - 7x + 49

• x^2 - 49

• x^2 + 49

(x - 1)(x - 8)

• x^2 + 9x + 8

• x^2^ + 9x - 8

• x^2 - 9x - 8

• x^2 - 9x + 8

Factor
r² -16r + 60

• (r - 15)(r + 4)

• (r - 6)(r + 10)

• (r - 6)(r - 10)

• (r +30)(r - 2)