9th Math Polynomial Review

Adding Polynomials

100

Add the Polynomials

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

5x + 5

200

Add the polynomials:

(x² +3x + 5) + ( -x² +6x)

9x + 5

300

Add the polynomials:

(t² + 3t³ -3) + (2t² +7t -2t³) 

t³ +3t² +7t -3

400

Add the polynomials: 

(-1 + x² + 2x) + (1 -2x + 2x²)

3x²

500

Add the polynomials:

(-7x⁵ + 14 -2x) + (10x⁴ + 7x + 5x⁵)

-2x⁵ + 10x⁴ +5x + 14

Subtracting Polynomials

100

Subtract the polynomials:

(5a + 4) - (7a + 3)

-2a + 1

200

Subtract the polynomials:

(-x² +2x - 5) - (-3x² -x -9)

2x² + 3x +4

300

Subtract the Polynomials:

(k² + 6k³ -4) - (5k³ + 7k -3k²)

k³ + 4k² -7k -4

400

Subtract the Polynomials:

(2x - 3) - (x² -2x + 4)

-x² + 4x - 7

500

Subtract the following polynomials

(3 - 6x⁵ - 8x⁴) - (-6x⁴ - 3x - 8x⁵)

2x⁵ - 2x⁴ + 3x + 3

All About Polynomials

100

What is the degree of a polynomial?

The highest exponent

200

Write the following in standard form:

5y - 9 + 4y³ - 8y⁶

-8y⁶ + 4y³ + 5y - 9

300

Classify by the number of terms:

4x

Monomial.

400

Classify by the number of terms:

145k³-80k

Binomial

500

Classify by number of terms:

9x - 13y + 4z

Trinomial

Multiplying Polynomials

100

Multiply the Polynomials:

3x² (2x⁴)

6x⁶

200

Multiply the Polynomials:

(x - 1)(8x² − 6x − 12 )

8x³ - 14x² - 6x + 12

300

Multiply the Polynomials:

(x-2)(x+6)

x²+4x-12

400

Multiply the Polynomials:

(3x-6)(5x+3)

15x²-21x-18

500

Multiply the following polynomials

(3r+ 5)²

9r² + 30r + 25

Factoring when a = 1

100

Factor:

x² + 8x + 15

(x + 3)(x + 5)

200

Factor:

x² + 7x - 30

(x - 3)(x + 10)

300

Factor:

x² - 5x - 24

(x + 3)(x - 8)

400

Factor:

x² - 13x + 36

(x - 4)(x - 9)

500

Factor:

x² - x - 42

(x + 6)(x - 7)