Polynomials

Classifying Degree

100

Classify the polynomial by the Degree

2x³

3

200

Classify the polynomial by degree

 - 6a - 5a²

2

300

What is the degree?

-10k³ + k +1 

3

400

What is the degree?

10a³ - 6a⁴

4

500

What is the degree?

(x-1)(x+2)(x-3)²

4

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

ZEROS

100

What are the Zeros?

(x-3)²(x-1)

3 and 1

200

What are the zeros?

(x-5)(x+9)³

5 and -9

300

What are the Multiplicities?

(x-3)²(x-1)

2 and 1

400

(x-5)(x+9)³

What are the multiplicities?

1 and 3

500

What are the zeros and multiplicities?

(x)(x-1)²(x+8)⁴

Zeros: 0, 1, -8

Multiplicities: 1, 2, 4