Polynomials Review Pre-Algebra

Addition

100

2 + 4

6

200

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

7x - 4

300

(3x² + 1) + (4x + 8)

3x² + 4x + 9

400

(7x² - 2x +5) + (-x² + 2x)

6x² + 5

500

(-2x² - 6x +11) + (-4x² + 5x - 3)

-6x² - x + 8

Subtraction

100

13x - 16x

-3x

200

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

-8x + 3

300

(15x + 1) - (-10x - 12)

25x + 13

400

(-x² - 5x + 6) - (3x² + 5x + 6)

-4x² - 10x

500

(19x² + 4x - 13) - (2 - 7x² - 14x)

26x² + 18x - 15

Vocab

100

What in a polynomial is a single part of the expression separated by plus (+) or minus (-) signs?

Term

200

What of a polynomial is the highest exponent of the variable(s) present in the polynomial?

degree

300

The form of a polynomial when written from highest exponent to lowest. 

Standard Form

400

The number in a polynomial with no variable attached to it.

Constant

500

The number multiplied by the highest degree term. 

Leading coefficient

Classifying

100

18x + 1

linear binomial

200

8

constant monomial

300

4x³ - 22

cubic binomial

400

-12x⁴ - x + 10

quartic trinomial

500

23x²

quadratic monomial

Multiplying

100

2(9x + 3)

18x + 6

200

-3x(3x² + 5)

-9x³ - 15x

300

4x²(6x² -11)

24x⁴ - 44x²

400

-x²(-2x² - x)

2x⁴ + x³

500

-9x³(-3x² + 4x - 5)

27x⁵ - 36x⁴ + 45x³