REVIEW ON FACTORING

Factoring trinomials when a=1

100

What is Step 1 of Factoring a Trinomial?

Checking for a GCF

200

Factor: x^2-12x+27

(x-9)(x-3)

300

Factor: x^2+2x-24

(x+6)(x-4)

400

Factor: x^2-5x+6

(x-3)(x-2)

500

Factor: y^4-7y^2-18

(y-3)(y+3)(y^2-2)

Factoring trinomials when a>1

100

Describe the extra step you have to take when factoring a polynomial that has an "a" value that is not 1.

You must use the area model with the two factors you found to find what the polynomial factors to be.

200

Factor 2x^2-7x+6

(2x-3)(x-2)

300

Factor 9x^2+6x+1

(3x+1)(3x+1)

400

Factor 2x^2-x-6

(x-2)(2x+3)

500

Factor 4y^2+12y+9

(2y+3)(2y+3)

Factor using the GCF

100

What does GCF mean?

Greatest Common Factor

200

What is the GCF of 12vw+28v+4vw

4v

300

Factor 3x^2-12x

3x(x - 4)

400

Factor: 6x^2y + 9xy^2 

3xy(2x + 3y)

500

Factor out the GCF: 7x^5y^3 + 14x^4y^2 + 49x^2y

7x^2y(x^3y^2 + 2x^2y +7)

Factor completely

200

Factor completely: x^4-625

(x+5)(x-5)(x^2+25)

300

Factor completely: y^4-81

(y^2+9)(y+3)(y-3)

400

Factor completely: 2x^3+14x^2-60x

2x((x+10)(x-3)

500

Factor completely: 80-5d^2

5(4+d)(4-d)

Difference of perfect squares

100

Factor: x^2-16

(x+4)(x-4)

200

Factor: 9-x^2

(3+x)(3-x)

300

25y^2-4k^2

(5y+2k)(5y-2k)

400

x^2+100

Can not be factored because it isn't a difference

500

(1/4)x^2-(49/25)

(1/2x-7/5)(1/2x+7/5)