Factoring Polynomials

Difference of Squares

100

25x^2-49

(5x+7)(5x-7)

200

36+x^2

Not a difference of squares!

Cubes

100

8x^3-343

(2x-7)(4x^2+14x+49)

200

27x^3+1

(3x+1)(9x^2-3x+1)

Trinomials a=1

100

x^2+7x+6

(x+1)(x+6)

200

-2x^2+24x-40

-2(x-2)(x-10)

Trinomials a≠1

100

2x^2-5x-3

(2x+1)(x-3)

200

30x^2-115x+100

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

Solutions to Quadratics

100

3x^3+3x^2-60x=0

3x(x+5)(x-4)=0

x={0,-5,4}

200

x^2-6x-47=30-2x

(x+7)(x-11)=0

x={-7,11}