Exponents and Polynomials

Multiply terms

100

m³(4m⁵)

4m⁸

200

(x+9)⁵(x+9)⁷

(x+9)¹²

300

(a³b)(ab⁴)

a⁴b⁵

400

(2x⁴)(3x⁰)(-x⁸)

-6x¹²

500

(2w³z⁷)(-8w⁴zm³)

-16w⁷z⁸m³

Divide terms

100

a¹⁰/a²

a⁸

200

18w¹⁴/9w¹⁴

2

300

m⁹n⁸/m⁰n⁴

m⁹n⁴

400

x¹⁰y³/yx⁵

x⁵y²

500

18p³d¹¹a⁴/3p³da²

6d¹⁰a²

Raise a power to a power

100

(a²⁵)³

a⁷⁵

200

(-3m⁴p⁶)³

-27m¹²p¹⁸

300

(a⁴/b³)⁵

a²⁰/b¹⁵

400

(5x⁷/2b⁵c²)²

25x¹⁴/4b¹⁰c⁴

500

(xy⁴)(2xy)³

8x⁴y⁷

Add/Subtract

100

(3x²-5x+10) + (2x²+8x-40)

5x²+3x-30

200

(5x⁴+6x³-9x²) + (-4x⁴-6x³+8x+9)

x⁴-9x²+8x+9

300

(11x²+2x) - (-3x²-7x+8)

14x²+9x-8

400

(-4+x²+2x³) - (-6-x+3x³) - (-x²-5x³)

4x³+2x²+x+2

500

Subtract 5a+2b from the sum of 2a+b and 3a-4b

-5b

Vocab/Evaluate

100

Name the coefficients in the polynomial:

3y⁷-y³+y-11

The coefficients are: 3, -1, 1, -11

200

Name the degree of each term: 2a⁵+4a⁴-7a²-6

Degrees of the terms in order:  5, 4, 2, 0

300

Name the leading term: -2x¹⁰+8x⁴+10x²+3x

The leading term is: -2x¹⁰

(since it is the term with the highest degree)

400

Evaluate when x = 3:

x²+5x-9

15

500

Evaluate when x = -1:

-2x³-4x²+3x+3

-2