Prime Time Factoring

GCF

100

Find the GCF of 24, 36

12

200

Find the GCF of x⁴,x²,x⁸

x²

300

Find the GCF of 18x⁴y²z³, 24x³y⁵z

6x³y²z

400

Find the GCF of 9(x-y) and 18(x-y)

9(x-y)

500

Find the GCF of 4(2a+1)² and 6(2a+1)³

2(2a+1)²

Factoring trinomials

100

Factor completely:  x²+5x+6

(x+3)(x+2)

200

Factor Completely:  3x+x²-10

(x+5)(x-2)

300

Factor Completely:  m²-6m-5

 Prime

400

Factor completely:  4y³+12y²-40y

4y(y+5)(y-2)

500

Factor Completely:  15a³-6a²b-25ab²+10b³

(5a-2b)(3a²-5b²)

Special Products

100

This is called what:  a²-b²

The difference of two squares

200

Factor completely:  x⁴-9

(x²-3)(x²+3)

300

Factor completely:  16m²+1

prime

400

Factor completely: 8v³-1

(2v-1)(4v²+2v+1)

500

Factor completely:  -4x³y+4x²y-4xy

-4xy(x²-x+1)

Solving Equations

100

What is this rule call? ab=o, then a=0 and b=0

Zero Product Property or Zero Product Rule

200

Solve the problem:  x(x+9)=0

x=0 and x=-9

300

Solve the problem:  a²-6a+9=0

a=3

400

A student made an error solving this problem.  What should the student do? (x-4)(x+3)=-6

x-4=-6 or x+3=-6

Foil first and add 6 to the other side. 

500

Solve the problem:  x²-ax+bx-ab=0

x=a and x=-b

Where you Listening?

100

Finish the statement:  If you see two.....

write 2

200

If a polynomial can not be factored then it is called 

Prime

300

When there are four terms, what factoring method do you use?

Factor by Grouping

400

When solving an equation, what tells you how many solutions you should have?

The degree

500

When factoring polynomials, what is first thing you look for...

The GCF!!!!