Factoring Quadratic Expressions

Factoring Quadratics I

100

Factor x²+8x+12

(x+6)(x+2)

200

Factor m²-11m+18

(m-9)(m-2)

300

Factor x²-13x-30

(x+2)(x-15)

400

Factor y²+6y-7

(y+7)(y-1)

500

Factor x²+10x+25

(x+5)² or (x+5)(x+5)

Factoring Quadratics II

100

Factor 2x²+7x+3

(2x+1)(x+3)

200

Factor 5n²+26n+5

(5n+1)(n+5)

300

Factor 3x²-10x+7

(3x-7)(x-1)

400

Factor 7x²-36x+5

(7x-1)(x-5)

500

Factor 3x² - 13x - 10

(3x+2)(x-5)

Factoring Quadratics III

100

Factor d²+12d

d(d+12)

200

Factor 4x²+10x

2x(2x+5)

300

Factor 18x²-36x

6x(3x-6)

400

Factor 2x³-12x³+8x

2x(x²-6x+4)

500

Factor 2x²+10x-48

2(x+8)(x-3)

Factoring Quadratics IV

100

Factor 9x²-49

(3x-7)(3x+7)

200

Factor -9+16x²

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

300

Factor 1-x²

(1-x)(1+x)

400

Factor 25x²+10x+1

(5x+1)²

500

Factor 36x²-36x+9

9(2x-1)²

Expanding Factored Form

100

Expand 2x(3x-1)

6x² - 2x

200

Expand (x+1)(2x+5)

2x² + 7x + 5

300

Expand (4x-5)(2x+6)

8x² + 14x -30

400

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

25x² - 4

500

Expand (3x-8)²

9x² - 48x + 64