Unit 5 Review

Dividing Polynomials

100

(x^2-9)/(x+3)

x-3

200

(x^2+2x+4)/(x+1)

x+1

300

(x^2+6x+8)/(x^2+11x+28)

(x+2)/(x+7)

400

(x^2-2x-24)/(x^2+5x-36)

(x+2)/(x+9)

500

(3x^3+9x^2-12x)/(x^3-16x)

(3x-1)/(x-4)

Multiplying Binomials

100

(x-1)(x+1)

x^2-1

200

(x+2)(x+3)

x^2+5x+6

300

(x-4)(x-6)

x^2-10x+24

400

(2x-1)(3x-4)

6x^2-11x+4

500

(xy^3-6)(x^2y+8)

(x^3y^3) + (8xy^3)- (6x^2y)- 48

Factoring Quadratic Trinomials

100

x^2+2x+1

(x+1)(x+1)

200

x^2+20x+36

(x+18)(x+2)

300

x^2-8x+15

(x-3)(x-5)

400

x^2-6x-7

(x-7)(x+1)

500

x^2+2xy+y^2

(x+y)(x+y)

Factoring the Difference of Two Squares

100

x^2-9

(x+3)(x-3)

200

x^2-4

(x+2)(x-2)

300

x^2-529

(x+23)(x-23)

400

x^2-4y^2

(x+2y)(x-2y)

500

4x^2-9y^2

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

Factoring Multistep Polynomials

100

2x^2+4x+2

2(x+1)(x+1)

200

3x^3-30x^2+48x

3x(x-8)(x-2)

300

-2x^4+24x^3-22x^2

-2x^2(x-1)(x-11)

400

-3x^4y-21x^3y+24xy

(-3x^2)(x+8)(x-1)

500

-5x^6y^2+40x^4y^2

-5x^4y^2(x^2-9)