Chapter 8

8-1

100

What degree is this binomial?

x³+y

Cubic (3rd degree)

200

Name this polynomial

x²+3y

Quadratic Binomial

300

Name this polynomial

4x³+3y+2x²

Cubic Trinomial

400

Put the following polynomial in standard form

-8x²+12-6x³+5x

-6x³-8x²+5x+12

500

Put the following polynomial in standard form

3x²+4x-2x³-12+13x-21x⁴+13

-21x⁴-2x³+3x²+13x+17x+1

8-2

100

Factor the following binomial

6x²+2x

2x(3x+1)

200

Factor the following trinomial

9x⁷+2x⁶-7x³

-x³(9x⁴-2x³+7)

300

Factor the following polynomial

5x³+25x²+45x

5x(x²+5x+9)

400

Factor the following polynomial

4x⁵-24x²+8x

4x(x⁴-6x²+2)

500

Factor the following polynomial

27x³y⁵-9x²y⁷+51x⁴y⁸

3x²y⁵(9x-3y²+17x²y³)

8-3

100

What is FOIL used for and what does it stand for?

Multiplying binomials;Firsts, Outers, Inners, Lasts

200

Multiply the following binomials

(2x+3)(5x-4)

10x²+7x-12

300

Multiply the following binomials

(5x-3)(2x+1)

10x²-x-3

400

Factor the following binomials

(2p²+3)(2p-5)

4p³-10p²+6p-15

500

Multiply the following binomials

(x⁴+2)(x²+3)

x⁶+3x⁴+2x²+6

8-4

100

What is the formula for the square of a binomial? [ex. (a+b)²]

a²+2ab+b² OR a²-2ab+b²

200

Solve the following equation

(x+9)(x-9)

x²-81

300

Solve the following equation

(6+2x)(6-2x)

36-4x²

400

Solve the following equation

(n-7)²

n²-14n+49

500

Solve the following equation

(2y+9)²

4x²+36x+81

8-5

100

Factor the following trinomial

x²+10x+21

(x+3)(x+7)

200

Factor the following trinomial

x²+8x+15

(x+3)(x+5)

300

Factor the following trinomial

n+9n-36

(n-3)(n+12)

400

Factor the following trinomial

c²-4c-21

(c+3)(c-7)

500

Factor the following trinomial

x²+6xy-55y²

(x+11y)(x-5)