Unit 8 Alegbra

8-1

100

Find the degree of the monomial 9b⁶c⁴

10

200

Simplify 6a²-2a²

4a²

300

Write the polynomial in standard form.

x²+8-5x

Also, name the polynomial based on the degree and number of terms.

x²-5x+8

Quadratic Trinomial

400

Subtract

(5x⁴+6x³-9) - (6x²-4x+3)=?

5x⁴+6x³-6x²+4x-12

500

Add the Polynomials

(3x²-4x+8) + (3x³-6x)

3x³+3x²-10x+8

8-2

100

Multiply

6x(3-x)

18x-6x²

200

Multiply the monomial and the polynomial.

5x³(5x+2)

25x⁴+10x³

300

Find the Product

4y²(3y²-3y+2)

12y⁴-12y³+8y²

400

Factor the Polynomial

13xy³+39x³y²

13xy²(y+3x²)

500

A circular mirror is surrounded by a square metal frame. The radius of the mirror is 3x. The side length of the metal frame is 9x. What is the area of the metal frame?

The area of the frame is _______ square units.

9x²(9-ℼ)

8-3

100

Simplify

(x+3)(x+4)

x²+7x+12

200

Use the distributive property to multiply.

(3y+1)(3y²+5y-4)

9y³+18y²-7y-4

300

Multiply

(3x-8)(3x+5)

9x²-9x-40

400

Distribute

(3y+3)(y²+3y-2)

3y³+12y²+3y-6

500

(4b⁵+1)(2b⁵-8)

8b¹⁰-30b⁵-8

8-4

100

(x-9)²

x²-18x+81

200

(6x-7)(6x+7)

36x²-49

300

(4-8z)(4+8z)

-64z²+16

400

(12x+y)²

144x²+24xy+y²

500

A square purple rug has a blue square in the center. The side length of the blue square is x inches. The width of the purple band that surrounds the blue square is 3 in. What is the area of the purple band?

12x+36 in²

8-5

100

Factor the expression

x²+20x+99

(x+11)(x+9)

200

Factor the expression

x²+11x+28

(x+4)(x+7)

300

Factor the trinomial completely.

x²+6x-27

(x-3)(x+9)

400

Factor the trinomial

b²+14by+40y²

(b+10y)(b+4y)

500

Factor the trinomial.

r²-rz-6z²

(r-3z)(r+2z)