FACTORING QUADRATICS

Factoring (a=1)

100

Factor into two binomials: x²+8x+12

(x+6)(x+2)

200

Factor into two binomials: x²-11x+18

(x-9)(x-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)

Factoring AND Solving

100

Solve the equation: x²-10x+16=0

x=8, x=2

200

Solve the equation: x²-64=0

x=8, x=-8

300

Solve the equation: x²+21x-46=0

x=-23, x=2

400

Solve the equation: x²-x=12

x= 4, x = -3

500

Solve the equation: -x²-6x=10x-17

x=17, x=-1

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

Factoring out the GCF

100

Factor out the GCF: 14n²+10n

2n(7n+5)

200

Factor out the GCF: 18x³-6x

6x(3x²-1)

300

Factor out the GCF: 8-4a²

4(2-a²)

400

Factor out the GCF: 4x⁴+16x³-8x²

4x²(x²+4x-2)

500

Factor out the GCF: 10a³b⁴-6a²b⁶

2a²b⁴(5a³-3b²)

Multiply Binomials

100

Multiply the binomials: (x-1)(x+1)

x² - 1

200

Multiply the binomials: (x+4)(x-5)

x² -x -20

300

Multiply the binomials: (3x-1)(x+5)

3x² -2x-5

400

Write the expression in standard form: (7x+2)(2x+5)

14x² +39x +10

500

Write the expression in standard form: (4x-3)²

16x² -24x +9