Factoring Polynomials

Vocabulary

100

A polynomial with 3 terms

What is a trinomial

200

An unknown number represented by a letter

What is a variable

300

The number written in front of a variable

What is a coefficient

400

A number without a variable component

What is a constant

500

A positive or negative whole number

What is an integer?

What's the GCF?

100

10x + 25

What is 5

200

27x² - 9x

What is 9x

300

-2x² - 4x + 6

What is -2

400

-24a⁴ - 18a³ - 30a²

What is   -6a²

500

3x(x + 7) - 2(x + 7)

What is (x + 7)

Factor using SPF

100

x² + 8x + 12

What is (x+2)(x+6)

200

x² - 10x + 21

What is (x - 7)(x - 3)

300

x² - 7x + 12

What is (x - 3)(x - 4)

400

x² + 7x - 30

What is (x-3)(x+10)

500

x² + 4x - 5

What is (x + 5)(x - 1)

Difference of Squares

100

x² - 9

What is (x - 3)(x + 3)

200

x² - 36

What is (x - 6)(x + 6)

300

9x² - 1

What is (3x - 1)(3x + 1)

400

2x² -  50

What is 2(x - 5)(x + 5)

500

4x² - 16

What is 4(x - 2)(x + 2)

Two Step Factoring

100

10x² + 80x + 70

What is 10(x+1)(x+7)

200

2x² - 22x + 60

What is 2(x - 5)(x - 6)

300

ax² - 16ax + 64a

What is a(x-8)(x-8)

400

- y² -3y + 40

What is -(y-5)(y+8)

500

2x³ + 2x² - 12x

What is 2x(x + 3)(x - 2)