FACTORING TRINOMIALS

a = 1

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)

a not 1

100

Factor into two binomials- 2x²+7x+3

(2x+1)(x+3)

200

Factor into two binomials: 5n²+26n+5

(5n+1)(n+5)

300

Factor into two binomials: 3x²-10x+7

(3x-7)(x-1)

400

Factor into two binomials: 7x²-36x+5

(7x-1)(x-5)

500

Factor into two binomials: 2x²-12x+10

(2x-2)(x-5)

FIND THE GCF

100

3x², 12x

3x

200

4x³, 10x²

2x²

300

2x⁵, 9x⁴

x⁴

400

18x³, 32x²+6x

2x

500

12m⁴n³, 6m³n², 24m²n⁴

6m²n²

FACTOR BY GCF

100

Factor by GCF: 14n²+10n

2n(7n+5)

200

Factor by GCF: 18x³-6x

6x(3x²-1)

300

Factor by GCF: 8-4a²

4(2-a²)

400

Factor by GCF: 4x⁴+16x³-8x²

4x²(x²+4x-2)

500

Factor by GCF: 10a³b⁴-6a²b⁶

2a²b⁴(5a³-3b²)

Solve.

100

Solve for x: x(x-6)=0

{0,6}

200

0=(3t-2)(t-3)

{2/3, 3}

300

Solve the equation using factoring. 5z²=20z

(0,-2,2)

400

25x²-90x=-81

{9/5}

500

Given a solution set, find the original equation. {2,-3}

x²+x-6=0