Factoring review

Monomials x Polynomials

100

Multiply:

5x(3x)

15x²

200

Multiply:

2(4x-5)

8x-10

300

Multiply:

4x(3x-10)

12x²-40x

400

Multiply:

2(x²-5x+6)

2x²-10x+12

500

Multiply:

-3x(4x²-5x-2)

-12x³+15x²+6x

Dividing Polynomials by Monomials

100

Divide:

(3x^2)/x

3x

200

Divide:

(4x+6)/2

2x+3

300

Divide:

(4x^2-8x-12)/(4)

x²-2x-3

400

Divide:

(4x^3-8x^2+16x)/(4x)

x²-2x+4

500

Divide:

(x^4y^3z^7+x^3y^4z^10)/(xy^2z^4)

x³yz³+x²y²z⁶

Binomials x Binomials

100

Multiply:

(x-5)(x+3)

x²-2x-15

200

Multiply:

(x-5)(x-7)

x²-12x+35

300

Multiply:

(2x+3)(x+5)

2x²+13x+15

400

Multiply:

(3x-5)(x+2)

3x²+x-10

500

Multiply:

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

6x²-9x-27

Difference of Perfect Squares

100

Factor:

x²-9

(x+3)(x-3)

200

Factor:

x²-49

(x+7)(x-7)

300

Factor:

4x²-1

(2x+1)(2x-1)

400

Factor

x²-y²

(x-y)(x+y)

500

Factor:

4x²-81y²

(2x-9y)(2x+9y)

Factoring trinomials

100

Factor:

x²+8x+15

(x+3)(x+5)

200

Factor:

x²-5x+4

(x-4)(x-1)

300

Factor:

x²-3x-10

(x-5)(x+2)

400

Factor:

x²+9x-10

(x+10)(x-1)

500

Factor:

x²-16x+55

(x-11)(x-5)