FACTORING TRINOMIALS

Simple Trinomials

100

Factor x²+5x+6

(x+2)(x+3)

200

Factor x²+7x+12

(x+3)(x+4)

300

Factor x²+4x+4

(x+2)2

400

Factor x²+9x+20

(x+4)(x+5)

500

Factor x²+11x+30

(x+5)(x+6)

Tricky Trinomials

100

Factor x²−4x+4

(x−2)2  

200

Factor x²+8x+16

(x+4)²  

or

(x+4)(x+4)

300

Factor x²−6x+9

(x−3)²

400

Factor x²+10x+25

(x+5)²

or

(x+5)(x+5)

500

Factor x²−12x+36

(x−6)²

or

(x-6)(x-6) 

Negative Coefficients

100

Factor x²−3x+2

(x−1)(x−2)

200

Factor x²−5x+6

(x−2)(x−3)

300

Factor x²−7x+10

(x−2)(x−5)

400

Factor x²−9x+14

(x−2)(x−7)

500

Factor x²−8x+15

(x−3)(x−5)

Mixed Signs

100

Factor x²+x−6

(x+3)(x−2)

200

Factor x²−x−12

(x−4)(x+3)

300

Factor x²+3x−10

(x+5)(x−2)

400

Factor x²−5x−24

(x−8)(x+3)

500

Factor x²+6x−16

(x+8)(x−2)

Challenge Round

100

Factor 2x²+5x+2

(2x+1)(x+2)

200

Factor 3x²+2x−1

(3x−1)(x+1)

300

Factor 4x²−4x−3

(2x+1)(2x−3)

400

Factor 6x²+11x+3  

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

500

Factor 5x²−7x+2

(5x−2)(x−1)