Grade 9 Math 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

Multiplying Polynomials

100

Multiply the Polynomials:

3x (2x²)

6x³

200

Multiply the Polynomials:

3(2x + 4x² - 5)

12x² + 6x - 15

300

Multiply the Polynomials:

−y² (−8y² − 6y − 3 )

8y⁴ + 6y³ + 3y² 

400

Multiply the Polynomials:

(3x - 2)(4x + 6)

12x²+10x-12

500

Multiply the Polynomials:

5x(x²-3x-8)

5x³-15x²-40x

General

100

The degree of this polynomial: 

x³ - 7x² + 4x⁵ - 19x⁷

.

7

200

Classify by its degree and number of terms:

10x²⁰

linear monomial

300

A constant has a degree of _________

Zero

400

Rewrite this polynomial in standard form 

-6a⁴ + 10a³ + 14a⁷ - 22a² + 33

14a⁷ - 6a⁴ + 10a³ -22a² +33

500

Refers to the highest exponent in a polynomial, or the exponent on a specific term

Degree