Factoring Polynomials

Difference of Squares

100

x²-25

(x-5)(x+5)

200

x²-49

(x+7)(x-7)

300

x²-121

(x+11)(x-11)

400

x²-225

(x+15)(x-15)

500

4x²-9

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

Plus in the Back

100

x²-7x+12

(x-4)(x-3)

200

x²+8x+15

(x+3)(x+5)

300

x²+17x+72

(x+8)(x+9)

400

x²-11x+24

(x-8)(x-3)

500

x²+10x+25

(x+5)(x+5)

Minus at the End

100

x²-3x-4

(x-4)(x+1)

200

x²+2x-8

(x+4)(x-2)

300

x²-5x-6

(x-6)(x+1)

400

x²+x-72

(x+9)(x-8)

500

x²-2x-15

(x+3)(x-5)

Determining Zeros

100

(x+5)(x-3)=0

x=-5;x=3

200

(x-8)(x+2)=0

x=8;x=-2

300

(x-7)(x+7)=0

x=7;x=-7

400

(x-6)(x-6)=0

x=6

500

(2x-3)(x+1)=0

x=3/2;x=-1

Factoring and Determining Zeros

100

x²+3x-4=0

(x-1)(x+4)=0 x=1;x=-4

200

x²-11x+30=0

(x-5)(x-6)=0 x=5;x=6

300

x²-12x+36

(x-6)(x-6)=0 x=6

400

x²-16x-28

(x-14)(x-2)=0 x=14;x=2

500

x²-13x-48

(x+3)(x-16)