Teach Fresh

GCF

100

Factor:

2x+2

2(x+1)

200

What is GCF? What does it stand for? How does it work?

GCF stands for Greatest Common Factor. It is the biggest number that can be taken out of each coefficient in a polynomial.

300

Factor:

-6y-21

-3(2y+7)

400

Factor:

3n²+12n

3n(n+4)

500

Factor:

-12r-18

-6r(2r+3)

Basic Tri.

100

Factor:

x²+5x+6

(x+2)(x+3)

200

Factor

x²+6x+8

(x+2)(x+4)

300

How do you factor a basic trinomial?

Find factors of c that add up to b.

400

Factor:

b²+12b+20

(b+10)(b+2)

500

Factor:

r²+7r-30

(r-3)(r+10)

Advanced Tri.

100

Factor:

2x²-11x+5

(2x-1)(x-5)

200

How does the Sasha Method work?

Factor of a and c, then combine like terms to get b.

300

Factor:

6v²-41v-7

(v-7)(6v+1)

400

What is the other name for the Sasha Method?

David Lopez Method.

500

Factor:

4v²-16v-9

(2v+1)(2v-9)

Perfect Squares

100

Factor:

n+4n+4

(n+2)²

200

How do you determine a whether an equation can be factored into a perfect square?

Check if the first and last terms are perfect squares, then solve to check if the middle term works with the perfect squares.

300

Factor:

4m²-20m+25

(2m-5)²

400

Factor

25a²-16

(5a+4)(5a-4)

500

Factor:

9v²+54v+81

(3v+9)²