Unit 6 Factoring4x

Factoring GCF

100

24x-10

2(12x-5)

200

6x²-18x

6x(x-3)

300

9x²-63

9(x²-7)

400

-4x²+12x+32

-4(x²-3x-8)

500

9x³+6x²+15x

3x(3x²+2x+5)

Factoring Quadratics

100

x²-x-20

(x-5)(x+4)

200

x²+16x+63

(x+9)(x+7)

300

x²+13x+22

(x+11)(x+2)

400

2x²-9x+10

(2x-5)(x-2)

500

4x²-11x+7

(4x-7)(x-1)

Mixed Factoring

100

4x²+32x+48

4(x+6)(x+2)

200

6x²+30x+24

6(x+4)(x+1)

300

x³+8x²+15x

x(x+5)(x+3)

400

x³-15x²+56x

x(x-8)(x-7)

500

7x²-11x-6

(7x+3)(x-2)

Difference Of Squares

100

x²-144

(x+12)(x-12)

200

x²-100

(x-10)(x+10)

300

x²-64

(x+8)(x-8)

400

4x²-81

(2x-9)(2x+9)

500

9x²-225

9(x+5)(x-5)

Zero Property

100

Find the Zeros of the quadratic.

(x+9)(x-2)=0

x=-9    x=2

(-9,0),(2,0)

200

Find the zeros of the quadratic.

x²-7x+12=0

x=3   x=4

(3,0)   (4,0)

300

Given the zeros are x=3 and x=-4, write the quadratic EQUATION.

x²+x-12=0

400

Given that the zeros are x=7 and x=0, write the quadratic EQUATION.

x²-7x=0

500

Given that the zeros are x=-2, x=3, and x=1, write the equation. 

x³-2x²-5x+6