Lesson 8 Review

8-1

100

What is the degree of this monomial?

9c²c⁹    

11

200

Find The degree of the given term

210,000

0

300

Write this polynomial in standard form and classify it.

4x-1+5x³+7

5x³+4x+6

Cubic Trinomial

400

Add The polynomials

(7x²-6x+5)+(8x³-6x)

8x³+7x²-12x+5

500

Subtract

(3x⁴+5x³-6)-(7x²-3x+7)

3x⁴+5x³-7x²+3x-13

8-2

100

Factor.

2a-10

2(a-5)

200

Factor out the greatest common factor.

6x²+21x

3x(2x+7)

300

Find the product.

6y³(3y²-3x+3)

18y⁵-18y⁴+18y³ 

400

Factor the polynomial.

19x⁴y²+57x⁵y

19x⁴y(7+3x)

500

Factor out the greatest common factor.

25x⁴+10x³+20x

5x(5x³+2x²+4)

8-3

100

Simplify the product.

(x+3)(x+8)

x²+11x+24

200

Simplify the product using the distributive property.

(x−5)(x+7)

x²+2x-35

300

Use FOIL to multiply.

(y+6)(y−7)

y²-1y-42

400

Find the product using FOIL.

(6a⁴+8)(4a⁴-9)

24a⁸-22a⁴-72

500

The radius of a cylindrical gift box is (3x+4) inches. The height of the gift box is twice the radius. What is the surface area of the cylinder? Write your answer as a polynomial in standard form.

54πx²+144xπ+96π

8-4

100

Find the product.

(x−1)²

x²-2x+1

200

Multiply using the rule for the square of a binomial.

(x−2)²

x²-4x+4

300

Simplify the product.

89²

7921

400

Simplify the product.

41•39

1599

500

A square green rug has a orange square in the center. The side length of the orange square is x inches. The width of the green band that surrounds the orange square is 11 in. What is the area of the green band?

44x+484in²

8-5

100

Factor the expression.

x²+14x+45

(x+9)(x+5)

200

Factor the expression.

n²−14n+40

(n-10)(n+4)

300

Factor the trinomial. 

a²+7az+10z²

(a+2z)(a+5z)

400

he area of a rectangular rug is given by the trinomial r2−2r−35. What are the possible dimensions of the rug? Use factoring.

r−7,r+5.

500

Factor the trinomial.

t²−ty−72y²

(t+8y)(t-9y)