8th Grade Unit 3

Vocabulary

100

How many terms does a trinomial have?

3

200

Is 3x² a binomial? Why or why not?

No. It is only one term. Binomials must have a single + or - sign

300

What is the definition of like terms?

multiple terms with identical variables raised to the same powers regardless of the coefficients. 

400

Name 3 types of polynomials

Monomials, Binomials, Trinomials

500

Can you multiply or divide terms if they are not like terms?

Yes

Addition/Subtraction

100

(2x+3)+(6x)

8x+3

200

(2x²+7x+5)+(x²+x+5)

3x²+8x+10

300

(12x³+7+3x)-(4x³+2+3x)

8x³+9+6x

400

(6x²-8x+5)-(7x²+3x-5)

-x²-5x+10

500

(8+x⁴-7x³)-(4x³-2-8x⁴)+(5x³-4)

9x⁴-6x³+6

Exponent Properties

100

a⁴ x a³

a⁷

200

a⁴/a³

a

300

a³/a⁵

1/a²

400

(3a³b)² x (6b⁴)

54a⁶b⁶

500

(4a^-1b²)² / (8b^-3)

(2b⁷) / (a²)

FOIL

100

(x+5)(x+2)

x²+7x+10

200

(x+4)(x-5)

x²-x-20

300

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

10x²+7x-12

400

(x+9)(x-9)

x²-81

500

(-3x-6)(-5x-7)

15x²+51x+42

Factor

100

2x+2

2(x+1)

200

21x³+14x²+7x

7x(3x²+2x+1)

300

x²y⁷ + x¹⁴y⁶ - x¹⁰y³

x²y³(y⁴+x¹²y³-x⁸)

400

72x³+63+54x

9(8x³+7+6x)

500

24x⁶-40x³y³-64x

8x(3x⁵-5x²y³-8)