Polynomials

Classifying Polynomials

100

Classify 3x + 9 by name and degree.

Binomial, Degree 3

200

Classify -x² - x by name and degree.

Binomial, degree 2

300

Classify -2x³ by name and degree.

Monomial, degree 3

400

Classify 5x² - 3x + 7 by name and degree.

Trinomial, degree 2

500

Classify 4x³ - 2x + 4 + 5x by name and degree.

Trinomial, degree 3

*Don't forget to simplify first!*

4x³ - 2x + 4 + 5x = 4x³ + 3x + 4

Standard Form

100

Rewrite the expression into correct standard form.

2x² + 5 - 3x + x²

3x² - 3x + 5

200

Rewrite the expression into correct standard form.

-2 + 4x³ + 5x + 5

4x³ + 5x + 3

300

Rewrite the expression into correct standard form.

3(x + 2) + x² - 4x

x² - x + 6

400

Rewrite the expression into correct standard form.

6x³ + 4x⁵ - 2x² - 6x + 8x⁴ + 7

4x⁵ + 8x⁴ + 6x³ - 2x² - 6x + 7

500

Rewrite the expression into correct standard form.

2(x² - 3x) + 3(-x + 4x²) - 4

14x² - 9x - 4

Adding

100

(2x - 9) + (-x + 8)

x - 1

200

2(2x + 1) + (x + 3) 

5x + 5

300

(4x² - 2x + 8) + (x² + 3x - 2)

5x² + x + 6

400

(4 + 3x² - 3x) + (3x + x² - 6)

4x² - 2

500

2(2x² - x + 4) + 3(2x² + 2x - 5)

10x² + 4x - 7

Subtracting

100

(3x + 4) - (2x + 1)

x + 3

200

2(4x + 9) - (3x + 10)

5x + 8

300

(2x² - 4x + 8) - (x² + 3x - 1)

x² - 7x + 9

400

(-2x + 2 + 6x²) - (-2 + 5x² + 2x)

x² - 4x + 4

500

3(2x² - 5x + 1) - (4x² + x - 4)

2x² - 16x + 7

Multiplying

100

2x(x - 1)

2x² - 2x

200

-x(-2x - 5)

2x² + 5x

300

3x(2x² + x - 4)

6x³ + 3x² - 12x

400

4x(-2x - 5y)

-8x² - 20xy

500

2x(x³ + 3x² - 5x + 2)

2x⁴ + 6x³ - 10x² + 4x