Polynomial Test Review

Definitions and Degrees

100

Classify the polynomial by the degree and number of terms:

2x³

Degree of 3, Monomial

200

Classify the polynomial by Degree and Number of Terms

5a² - 6a

Degree of 2, Binomial

300

Classify the polynomial by Degree and Number of Terms

-6a⁴b³ + 10a³b

Degree of 7, Binomial

400

The SUM of the coefficients of this polynomial

-10k³ + 2k +1

-8

500

What is the degree of a constant? 

Zero

Adding/Subtracting Polynomials

100

Add the Polynomials

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

5x + 5

200

Subtract the polynomials:

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

-12h - 8

300

Subtract the polynomials:

(x² +3x + 5) - ( -x² +6x)

2x² - 3x + 5

400

Subtract the Polynomials:

(k² + 6k³ -4) - (5k³ + 7k -3k²)

k³ + 4k² -7k -4

500

Add the polynomials:

(-1 + x²y + 2yx²) + (1 -2xy² + 6x²y)

9x²y - 2xy²

Variety Pack

100

This is the simplified expression of the perimeter of a square of side length (5x - 8)

20x - 32

200

This is the GCF of 100m⁴n⁶ + 30m²n⁸

10m²n⁶

300

This is the situation in which exponents get multiplied.

When a power is applied to another power

400

This is the full simplification of (-3g³h^-2)²

9g⁶/h⁴

500

This is the fully factored form of 

12p⁴q⁵ - 8p⁵q² + 20p³q⁴

4p³q²(3pq³ - 2p² + 5q²)

Multiplying Polynomials

100

Multiply the Polynomials:

3x² (2x⁴)

6x⁶

200

Multiply the Polynomials:

(-2x)(x + 2)

-2x² - 4x

300

Multiply the Polynomials:

(-3m⁴)(-4m² - 6m)

12m⁶ + 18m⁵

400

Multiply the Polynomials:

(4n - 1)(5 + 3n)

12n² + 17n - 5

500

Multiply the Polynomials:

(4a² - b)²

16a⁴ - 8a²b +b²

Dividing Polynomials

100

Divide the Polynomials:

(4n + 8) / 2

2n + 4

200

Divide the Polynomials:

(16x² - 24x + 8) / 8

2x² - 3x + 1

300

Divide the Polynomials:

(25s³ + 15s) / 5s

5s²  + 3

400

Divide the Polynomials:

(8h⁶ - 32h⁵ +16h⁴) / -8h⁴

-h² + 4h - 2

500

Divide the Polynomials:

(3x⁴y² + 6x³y - 9x²y) / 3x²y

x²y + 2x - 3