Unit 8 Review

8-1

100

Find the degree of 7a⁴b⁶

10

200

Find the degree of 5b⁵c⁷

The degree is 12

300

Simplify 8d²-3d²

5d²

400

Write the polynomial 9z⁴-5z-6z² in standard form and name the polynomial based on its degree and number of terms. 

9z⁴-6z²-5z is a fourth-degree trinomial. 

500

Subtract (8x⁴+3x³-8)-(8x²+7x-25)

8x⁴+3x³-8x²+7x-15

8-2

100

Factor out the greatest common factor of 10x²-15x. 

5x(2x-3)

200

Multiply the monomial and the polynomial. 4x²(2x+5)

8x³+20x²

300

Find the GCF of the terms of the polynomial 35z⁴-70z³+10z²

5z²

400

Factor out the greatest common factor 6x²+9x

3x(2x+3)

500

Factor the polynomial 11xy⁶+33x²y⁴

11xy⁴(y²+3x)

8-3

100

Simplify the product (x+9)(x+2)

x²+11x+18

200

Simplify the product (x-2)(x+4)

x²+2x-8

300

Solve (y+7)(y-6) 

y²+y-42

400

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

18x²-23x-6

500

Find the product (5y⁵+7)(2y⁵-8)

10x¹⁰-26y⁵-56

8-4

100

Find the Product (x-2)²

x²-4x+4

200

Multiply (x-10)²

x²-20x+100

300

Use mental math to solve 99²

9801

400

Simplify 2001x1999

3999999

500

Find the product of (x+3y)²

x²+6xy+9y²

8-5

100

Factor the expression x²+15x+44

(x+4)(x+11)

200

Factor the expression x²+14x+45

(x+9)(x+5)

300

Factor the expression x²-7x-18

(x-9)(x+2)

400

Factor the expression x²-12x-45

(x+3)(x-15)

500

Factor the trinomial s²-sy-30y²

(s+5y)(s-6y)