FACTORING TRINOMIALS

Factoring trinomials

100

Factor into two binomials: x²+8x+12

(x+6)(x+2)

200

Factor into two binomials: m²-11m+18

(m-9)(m-2)

300

Factor into two binomials: x²+5x-24

(x+8)(x-3)

400

Factor into two binomials: y²-6y-7

(y-7)(y+1)

500

Factor into two binomials: x²-13x-30

(x+2)(x-15)

Zero Product Property

100

(2x+1)(x+3)

x=-1/2 z=-3

200

(5x+1)(x+5)

x=-1/5 x=-5

300

(3x-7)(x-1)

x=7/3 x=1

400

(7x-1)(x-5)

x=1/7 x=5

500

(2x-2)(x-5)

x=1 x=5

FIND THE GCF

100

Find the GCF: 3x² +12x+9

3

200

Find the GCF: 4x²  -8x-5

4

300

Find the GCF: 2x²-6x-8

2

400

Find the GCF: 18x², 36x+18

18

500

Find the GCF: 12m⁴n³, 6m³n², 24m²n⁴

6m²n²

FACTOR BY GCF

100

Factor by GCF: 7x²+14x-21

7( x²+2x-3)

200

Factor by GCF: 3x²-6x-9

3(x²-2x-3)

300

Factor by GCF: 8-4a²

4(2-a²)

400

Factor by GCF: 4x²+16x-8

4(x²+4x-2)

500

Factor by GCF: 10a³b⁴-6a²b⁶

2a²b⁴(5a³-3b²)

All Together

100

Solve for x: 3x-7=11

x=6

200

Solve for x: 2x²-12x-32

x=-2 x=8

300

solve for x: 2x²+10x=-12

x= -2 x=-3

400

solve for x: 3x²+24x+48

x=-4

500

Solve for x: x²-16

x=-4 x=4