Polynomial review

Adding and subtracting

100

(-x²-6x-3)+(-4x-7)

-x²-10x-10

200

(-8x²+5x+3)+(6x+6)

-8x²+11x+9

300

(5x²+4x)-(8x+4)

5x²-4x-4

400

(x²+10x)-(-4x²-x+10)

5x²+11x-10

500

Subtract -6x+3 from -6x+8

5

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

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

GCF

100

Factor out the gcf:

36x-6

6(6x-1)

200

Factor out a gcf:

7x³-5x

x(7x²-5)

300

Factor out a gcf:

70x²+80x

10x(7x+8)

400

Factor out a gcf:

40x³+36x⁵

4x³(10+9x²)

500

Factor out a gcf:

x⁴y²-x³y⁵

x³y²(x-y³)

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)

Factoring trinomials cont.

100

Factor:

2x²+5x+3

(2x+3)(x+1)

200

Factor:

3x²+16x+5

(3x+1)(x+5)

300

Factor:

5x²+44x-9

(5x-1)(x+9)

400

Factor

5x²+2x-7

(5x+7)(x-1)

500

Factor:

8x²-10x+3

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