Factoring Polynomials

Factoring GCF

100

x²+2x

What is x(x + 2)?

200

x² + 7x

What is x(x+ 7)?

300

6x² - 9x

What is 3x(2x - 3)?

400

24x² - 24x

What is 24x(x-1) ?

500

5x⁴ +15x³ - 10x²

What is 5x²(x² + 3x -2) ?

Trinomials

100

x² + 11x +30

What is (x + 5)(x + 6)?

200

x² - 10x - 24

What is (x + 2)(x - 12) ?

300

x² + x - 12

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

400

x² - 9x + 8

What is (x - 8)(x - 1) ?

500

x² +3x - 48

What is (x - 6)(x + 9) ?

Difference of Squares

100

x² - 100

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

200

x² - 36

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

300

x² - 121

What is (x + 11)(x - 11) ?

400

x² - 81

What is (x + 9)(x - 9) ?

500

2x² - 2

What is 2(x + 1)(x - 1) ?

Prime Coefficient

100

2x² + 20x + 50

What is (2x+10)(x + 5) ?

200

5x² + 9x +4

What is (5x +4)(x + 1) ?

300

3x² - 24x - 27

What is (3x + 3)(x - 9)

400

5x² - 18x + 16

What is (5x - 8)(x - 2) ?

500

11x² + 2x - 9

What is (11x - 9)(x + 1)

Multiplying Polynomials

100

(x + 5)(x - 8) 

What is x² - 3x - 40 ?

200

(2x + 7)(3x - 1)

What is 6x² + 19x - 7 ?

300

(x - 4)(x + 3)

What is x² - x - 12 ?

400

(2x + 2)(x - 13)

What is 2x² - 24x - 26?

500

x(x² + 7x  - 6)

What is x³ + 7x² - 6x ?