Factoring Polynomials

Difference the Square

100

x²-4

(x+2)(x-2)

200

x²-64

(x+8)(x-8)

300

20x²-45

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

400

32x⁴y-18x²y³

2x²y(4x-3y)(4x+3y)

500

288x¹¹y⁴-242x²y²⁰

2x²y⁴(12x³-11y⁴)(12x³+11y⁴)

X Method

100

x²+2x+1

(x+1)(x+1) or (x+1)²

200

x²+x-2

(x-1)(x+2)

300

2x²+12x+16

2(x+4)(X+2)

400

8x⁴-32x³+24x²

8x²(x-3)(x-1)

500

9x⁶-126x⁵-648x⁴

9x⁴(x-18)(x+4)

Slip and Slide

100

2x²-x-28

(2x+7)(x-4)

200

8x²+6x-5

(4x+5)(2x-1)

300

9x²-12x+4

(3x-2)(3x-2) or (3x-2)²

400

6x²-28x+32

2(x-2)(3x-8)

500

16x²-24x+8

8(2x-1)(x-1)

Grouping

100

3x³-21x²+2x-14

(x-7)(3x²+2)

200

x³+3x²-5x-15

(x+3)(x²-5)

300

x³-9x²y+xy-9y²

(x-9y)(x²+y)

400

x³-x²y+x-y

(x-y)(x²+1)

500

4x³-x²y+8xy-2y²

(4x-y)(x²+2y)