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: x²-6x-7

(x-7)(x+1)

500

Factor into two binomials (leave in factored form): x²-13x-30

(x+2)(x-15)

Solving Quadratics

100

What is the quadratic formula?

-b +- √b²-4ac /2a

200

Solve the Quadratic (quad formula): 5n²+26n+5

n=-5 or n=-1/5

300

Solve the quadratic: 3x²+27=0

x=±3

400

Solve the quadratic: x²+3x-10=0

x=2 or x=-5

500

Solve the quadratic: 2x²-12x=-10

x=1 or x=5

FIND THE GCF

100

Find the GCF: 3x², 12x

3x

200

Find the GCF: 4x³, 10x²

2x²

300

Find the GCF: 2x⁵, 9x⁴

x⁴

400

Find the GCF: 18x³, 32x²+6x

2x

500

Find the GCF: 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)

REVIEW

100

Solve for x: 3x-7=11

x=6

200

2x+8=5x-7

x=5

300

Solve the system of equations by using substitution: 3y+2x=32; x=7

y=6

400

What is the slope and y-intercept of the following line? y=5x-2

Slope=5 Y-Intercept=-2

500

Solve the system of equations by using elimination: 2x + y = 9; 3x – y = 16

x=5, y=-1