Factoring Review

Greatest Common Factor

100

The result of factoring: 2x² + 14

2(x² + 7)

200

The result of factoring:
8a - 16

8(a - 2)

300

The GCF of:
25z² - 125xz

25z

400

The result of factoring:
9x² - 45x + 9

9(x² - 5x + 1)

500

The result of factoring:
-15x² + 5x

-5x(3x - 1)

Trinomial(a=1)

100

To factor the trinomial x² + 8x + 16 you find two numbers that add to 8 but multiply to this...

16

200

The result of factoring:
x² + 8x + 12 

(x + 2)(x + 6)

300

The result of factoring:
x² - 6x + 8

(x - 4)(x - 2)

400

The result of factoring:
x² - 10x - 24 

(x - 12)(x + 2)

500

The result of factoring:

x² - 14x - 72

(x - 18)(x + 4)

Difference of Squares

100

The result of factoring: 16x² + t²

(4x - t)(4x + t)

200

The result of factoring:
x² - 25

(x - 5)(x + 5)

300

The result of factoring:
x² - 100

(x - 10)(x + 10)

400

The result of factoring:
81x² - 49

(9x - 7)(9x + 7)

500

The result of factoring:
64x² - 36

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

Trinomials(a not =1)

100

The result of factoring:

6x² -5x -4

(2x-1)(3x+4)

200

The result of factoring:

2x² +11x +12

(2x+3)(x+4)

300

The result of factoring:

3x² +16x -12

(x+6)(3x-2)

400

The result of factoring:

5x² -21x +18

(x-3)(5x-6)

500

The result of factoring:

4x² +24x +11

(2x+11)(2x+1)

Vocabulary

100

What is "prime"?

When something can't be factored

200

What is standard form of a quadratic?

ax² +bx + c

300

What are "factors"?

Things that are being multiplied together

400

What are "terms"?

Things that are being added or subtracted together

500

What does it mean to be "equivalent"?

Equal in value