Polynomial Review

Standard Form/Classifying

100

What is the degree of the following polynomial?

2x³

3

200

How many terms does this polynomial have?

5a³ - 6a

2 terms

300

What is the degree of the following polynomial?

-6a⁴ + 10a⁶

6

400

What is the leading coefficient of the polynomial below?

-10k³ + k +1

-10

500

What is the degree AND leading coefficient of the polynomial below?

4x - 9x² + 4x³ - 5x⁴

Degree=4

Leading coefficient=-5

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/Dividing Polynomials

100

Multiply the Polynomials:

3x² (2x⁴)

6x⁶

200

Divide the Polynomials:

(x² - x - 6)/(x - 3)

x+2

300

Multiply the Polynomials:

(2m - 1)(m + 2)

2m² + 3m - 2

400

Divide the Polynomials:

(2x³-5x²-x+1) / (2x+1)

x²-3x+1

500

Multiply the Polynomials:

(d + 3)(d² - 4d + 1)

d³ - d² -11d + 3

Miscellaneous

100

(2u⁴v^-4)⁴ (2u^-2)

8x⁶/y³

200

[(2xy³z³)(zx²y⁴)]^-3

1/8x⁹y²¹z¹²

300

a^-1b³c^-1/4ca⁰

b³/4ac²

400

2x²y²/2x^-3(2xy^-1)³

y⁵x²/8

500

[(2ca^-4b²)(2b³c⁴)/b^-4]³

64c¹⁵b²⁷/a¹²