FACTORING QUADRATIC EXPRESSIONS

Greatest Common Factor

100

Factor: 6n²+9n

3n(2n+3)

200

Factor: 3a²+9

3(a²+3)

300

Factor: 5t²-5t-10

5(t²-t-2)

400

Find Common factor: -25b²+20b

-5b(5b-4)

500

Find Common Factor: 14y³+7y²-21y

7y(2y²+y-3)

"a" Equal to One

100

Factor into two binomials: x²+3x+2

(x+1)(x+2)

200

Factor into two binomials: x²+5x+6

(x+2)(x+3)

300

Factor into two binomials: x²+7x+10

(x+2)(x+5)

400

Factor into two binomials: x²+10x+16

(x+2)(x+8)

500

Factor into two binomials: y²+15y+36

(y+3)(y+12)

"a" Not Equal to One

100

Factor: 2x²+11x+12

(x+4)(2x+3)

200

Factor: 4x²-4x -3

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

300

Factor: 3x²-2x-5

(3x-5)(x+1)

400

Factor: 2m²-11m+15

(m-3)(2m-5)

500

Factor: 2x²-19x+24

(x-8)(2x-3)

Difference of Squares

100

Factor: x²-16

(x+4)(x-4)

200

Factor: 49y²-81

(7y+9)(7y-9)

300

Factor: 12x²-27

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

400

Factor: 81y²+49

Cannot be factored. This is the sum of squares, not a difference of squares

500

Factor: 16a⁴-25b⁴

(4a²+5b²)(4a²-5b²)

Factor Completely

100

Factor: 2x²+16x+14

2(x+7)(x+1)

200

Factor: 16x²+60x-100

4(x+5)(4x-5)

300

Factor: 15n²-27n-6

3(5n+1)(n-2)

400

Factor: -6a²-25a-25

-(2a+5)(3a+5)

500

-30x⁴-25x³+30x²

-5x²(2x+3)(3x-2)