Polynomial Review

Adding Polynomials

100

Add the Polynomials

(4x + 9) +(x - 4)

5x + 5

200

Add the polynomials:

(-3a - 2) + (7a + 5)

4a + 3

300

Add the polynomials:

(x² +3x + 5) + ( -x² +6x)

9x + 5

400

Add the polynomials:

(t² + 3t³ -3) + (2t² +7t -2t³) 

t³ +3t² +7t -3

500

Add the polynomials: 

(-1 + x² + 2x) + (1 -2x + 2x²)

3x²

Subtracting Polynomials

100

Subtract the polynomials:

(g - 4) - (3g - 6)

-2g + 2

200

Subtract the polynomials:

(-5h - 2) - (7h +6)

-12h - 8

300

Subtract the polynomials:

(-x² - 5) - (-3x² -x -8)

2x² + x +3

400

Subtract the Polynomials:

(k² + 6k³ -4) - (5k³ + 7k -3k²)

k³ + 4k² -7k -4

500

Subtract the Polynomials:

(2x - 3x) - (x² -2x + 4)

-x² + x - 4

Combining Like Terms

100

Simplify.  2x - 6x

-4x

200

Simplify. Write your answer in standard form.

5a - 9 - a

4a - 9

300

Simplify. Write your answer in standard form.

4m - 2m² + 9 - m² + 1

-3m² + 4m + 10

400

Simplify. Write your answer in standard form.

7h + h³ - 7h + 4h² - 3h³ - h² - 1

-2h³ + 3h² - 1

500

Simplify. Write your answer in standard form.

14y + 2 - 2 - 14y

0

Standard Form

100

Put terms into standard form.

3𝑥² − 5𝑥³

-5x³ + 3x²

200

Put terms into standard form:

5𝑥² − 9𝑥⁵ + 8𝑥³ − 11  

-9x⁵ + 8x³ + 5x² - 11

300

Put into standard form.

− 3 + 16x − 16x

-3

400

Put into standard form.

4𝑥² − 2𝑥⁵ + 14 − 7𝑥⁴

-2x⁵ - 7x⁴ + 4x² + 14

500

Put into standard form.

−𝑥² + 2𝑥 − 5𝑥³ − 4x

-5x³ - x² - 2x

Classifying Polynomials

100

Classify.

2

Constant Monomial

200

Classify.

-2x² + 5x - 3

Quadratic Trinomial

300

Classify.

-3x³ - 2

Cubic Binomial

400

Classify.

9m - 3m⁵ + 2m³ + 7 - m²

5th degree polynomial

500

Classify.

-6x³ + 5 + 6x³ - x² - 5

Quadratic Monomial