Sections 4.4-4.8 Review (Factoring & Solving Polynomials)

Factoring by Grouping

100

Factor 

12a^3-9a^2+4a-3

(3a^2+1)(4a-3)

200

Factor 

m^3-m^2+2m-2

(m^2+2)(m-1)

300

Factor 

12n^3+1+4n^2+3n

(4n^2+1)(3n+1)

400

Factor 

5n^3-6+3n-10n^2

(5n^2+3)(n-2)

Quadratics

100

Factor 5m²+10m-15

5(x-1)(x+3)

200

Factor

v²-7v+6=0

v=1 and v=6

300

Factor 3x²-3x-36

3(x+3)(x-4)

400

r²+7r+12=0

r=-4 and r=-3

500

p²-9p+20=0

p=5 and p=4

More Quadratics

100

3n²-13n+4=0

n=1/3 and n=4

200

3x²-8x+4=0

x=2/3 and x=2

300

10x²+x-3=0

x=1/2 and x=-3/5

400

3a²-19a+20=0

a=4/3 and a=5

500

4v²-1=0

v=-1/2 and v=1/2

Not in Standard Form

100

n²+7n+14=2

n=-4 and n=-3

200

5p²-9p+1=-3

p=4/5 and p=1

300

3x²+5x=2

x=1/3 and x=-2

400

15m²-2=-m

m=-2/5 and m=1/3

500

14n²-7n-5=-n²-1

n=-1/3 and n=4/5

Wildcard

100

r(3r+5)=0

r=-5/3 and r=0

200

GCF of 18r³t, 26qr²t⁴

2r²t

300

x² - 25 = 0

x = -5, 5

400

GCF of 12a, 18abc

6a

500

x² - 64 = 0

x = -8, 8