Factoring Polynomials Review

Factor by Grouping

100

Factor

x² - 3x + 4ax - 12a

What is

(x+4a)(x-3)?

200

Factor

9n³+3n²+21n+7

What is

(3n²+7)(3n+1)?

300

Factor

25a³-40a²+10a-16

What is

(5a²+2)(5a-8)?

400

Factor

3x³+x²+21x+7

What is

(x²+7)(3x+1)?

500

Factor

20v³-32v²-60v+96

What is

4(v²-3)(5v-8)?

Poly 101

100

It's what you should look for to factor out first every time.

What is GCF?

200

It's what you play when looking for two numbers that MULTIPLY to ac and ADD to b.

What is the X-GAME?

300

This is the form of a quadratic trinomial.

What is 

ax² + bx + c?

400

When dividing the GCF out of a polynomial, this rule can actually help you.

What is the QUOTIENT RULE?

500

When factoring polynomials, you can rewrite the original polynomial, replacing the X-game values as these.

What are COEFFICIENTS of x?

Difference ofSquares

100

Factor x²-1

What is

(x-1) (x+1)?

200

Factor x²-144

What is

(x+12)(x-12)?

300

Factor 16x²-9

What is

(4x-3)(4x+3)?

400

Factor 100x²-81

What is

(10x-9)(10x+9)?

500

Factor 49x²-4

What is

(7x-2)(7x+2)?

Squared Binomials

100

Factor m²+10m+25

What is

(m+5)²?

200

Factor 

x²+8x+16

What is

(x+4)²?

300

Factor 25x²+10x+1

What is

(5x+1)²?

400

Factor

x² + 4x + 4

What is (x+2)²?

500

Factor 

a²-8a+16

What is

(a-4)²?

Factoring

100

Factor

p² +2p -35

What is

(p-5)(p+7)?

200

Factor:

z² - 4z - 21

What is

(z+3)(z-7)?

300

Factor

-5y² - 22y - 8

What is

(-5y-2)(y+4)?

400

Factor

7x²-15x-18

What is

(x-3)(7x+6)?

500

Factor

3k²+13k+10

What is

(k+1)(3k+10)?

X-GAME

100

Multiply to 6

Add to 7

What are 

6 & 1?

200

Multiply to -10

Add to 9

What are

-1 & 10?

300

Multiply to -14

Add to 5

What are 7 & -2?

400

Multiply to -54

Add to -3

What are

-9 & 6?

500

Multiply to -150

Add to -19

What are

6 & -25?