Factoring Quadratics

GCF!

100

Find the GCF: n²-7n

n

200

Find the GCF: 3k³-147k

3k

300

Find the GCF: 5x³-45x²

5x²

400

Find the GCF: -4r⁴-4r³-224r²

-4r²

500

Find the GCF: 4n⁵⁴+36n³⁴+72n⁴⁵

4n³⁴

When a=1

100

Factor: n²+n-20

(n+5)(n-4)

200

Factor: 4a³-20a²-96a

4a(a+3)(a-8)

300

Factor: 2x²+32x+120

2(x+6)(x+10)

400

Factor: 6k³-84k²+240k

6k(k-4)(k-10)

500

Factor: 5x³+5x²-280x

5x(x-7)(x+8)

When a is not 1

100

Factor: 7x²-43x+6

(7x-1)(x-6)

200

Factor:7n²-67n-30

(7n+3)(n-10)

300

Factor: 6x²+32x-70

2(3x-5)(x+7)

400

DAILY DOUBLE: Factor: 42x²+324x-486

6(7x-9)(x+9)

500

Factor: 30m²-162m+168

6(5m-7)(m-4)

Difference of squares

100

Factor: x²-25

(x+5)(x-5)

200

Factor: x²-121

(x-11)(x+11)

300

Factor: 2x²-18

2(x+3)(x-3)

400

Factor: 3x³-12x

3x(x+2)(x-2)

500

Factor: 2x⁴-578x²

2x²(x+17)(x-17)

Potpourri

100

What does GCF stand for? 

Greatest Common Factor

200

What is the first step in factoring: -x²+3x-4

Factor out a -1

300

Factor: 24x²-90x+81

3(4x-9)(2x-3)

400

Factor: 40x²+228x-72

4(x+6)(10x-3)

500

What are the x-intercepts of the function?

f(x)=3(x+1)(x-4)

-1 and 4