Factoring Review

Factor by GCF

100

6x + 18

6(x + 3)

200

10x² + 5x

5x(2x + 1)

300

12x³ − 8x²

4x²(3x − 2)

400

15x⁴ + 20x³

5x³(3x + 4)

500

18x⁵ + 27x³

9x³(2x² − 3)

Factor by Grouping

100

x² + 3x + 2x + 6

(x + 2)(x + 3)

200

x² + 5x + 4x + 20

(x + 4)(x + 5)

300

2x² + 6x + x + 3

(2x + 1)(x + 3)

400

3x² + 9x + 2x + 6

(3x + 2)(x + 3)

500

4x² + 12x + 5x + 15

(4x + 5)(x + 3)

Trinomial a=1

100

Factor: x² + 5x + 6

(x + 2)(x + 3)

200

x² + 7x + 12

x² + 7x + 12

300

x² − 2x − 15

(x − 5)(x + 3)

400

x² − 9x + 20

(x − 5)(x − 4)

500

x² + x − 30

(x + 6)(x − 5)

Trinomials a>1

100

2x² + 7x + 3

(2x + 1)(x + 3)

200

3x² + 10x + 8

(3x + 4)(x + 2)

300

4x² + 12x + 5

(4x + 5)(x + 1)

400

5x² + 13x + 6

(5x + 3)(x + 2)

500

6x² + 11x + 3

(3x + 1)(2x + 3)

Misc.

100

Which NBA team does Stephen Curry play for?

Golden State Warriors

200

What is the name of the wizarding school in the Harry Potter series?

Hogwarts

300

What is the 6th planet from the Sun?

Saturn

400

Which luxury watch brand uses a crown as its logo?

Rolex

500

How old will our country be this year on July 4th?

250 years