LKMS Algebra I: Factoring Polynomials

a=1 Trinomials

100

x² + 3x +2

(x+1)(x+2)

200

x² -5x +6

(x-2)(x-3)

300

x²-2x-8

(x+2)(x-4)

400

x² + 7x - 18

(x+9)(x-2)

500

x² - 45x +450

(x-15)(x-30)

a≠1 Trinomials

100

2x² + 11x + 5

(x+5)(2x+1)

200

3x² - 4x - 7

(x+1)(3x-7)

300

6x² - 19x + 15

(2x-3)(3x-5)

400

3x² +16x +5

(3x+1)(x+5)

500

14x² - 15x + 4

(7x-4)(2x-1)

GCF/Distributive Property

100

14x⁴ - 21x²

7x² (2x-3)(x+1)

200

2x² + 8

2(x² + 4)

300

6x³ - 18x

6x (x² - 3)

400

24x³ + 18x²

6x² (4x + 3)

500

-3x⁴ +21x³

-3x³ (x  -7)

Difference of Squares

100

x² - 4

(x +2) (x-2)

200

4x² - 25

(2x + 5)(2x - 5)

300

50 - 98x²

2 (5 + 7x)(5 - 7x) 

400

100x² - 121

(10x + 11)(10x - 11)

500

6x² - 150

6 (x+ 5) (x -5)

Simplifying Rational Expressions

100

2x/2(x+5)

x/x+5

200

2x² - 6x/6x²

x-3/3x

300

4 - x² / x² - x - 2

x + 2/x + 1

400

2x² + 11x - 6/ x + 6

2x - 1

500

x² + x - 20/ x² +2x - 15

x - 4/ x - 3