Factoring Polynomials

Diamond Math

100

x²+6x+5

(x+5)(x+1)

200

x²-14x+24

(x-2)(x-12)

300

x²-2x-15

(x-5)(x+3)

400

Factor GCF First

6x²+12x+6

6(x+1)(x+1)

500

Factor GCF First

3x²-24x+45

3(x-3)(x-5)

Slide, Divide, Bottoms Up

100

-2m²+9m-7

(m-1)(-2m+7)

200

3m²-22m+40

(3m-10)(m-4)

300

Factor the GCF First

40x²-44x-24

4(5x+2)(2x-3)

400

Factor the GCF First

-35z⁵-462z⁴+945z³

7z³(-5z+9)(z+15)

500

Factor Out GCF First

20s⁴+368s³-640s²

4s²(5s-8)(s+20)

Perfect Squares

100

x²-25

(x-5)(x+5)

200

x²-121

(x-11)(x+11)

300

9x²-4

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

400

169x²-121

(13x-11)(13x+11)

500

Factor GCF First

27x²-75

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