Polynomials

Classifying Polynomials

100

Name the degree and number of terms

5k

Linear Monomial

200

Name the degree and number of terms

7

Constant Monomial

300

Name the degree and number of terms

9b² - 9b + 4

Quadratic Trinomial

400

Name the degree and number of terms

-4n⁶ - 3n⁵ 

6th Degree Binomial

500

Name the degree and number of terms

9r⁴ + 6r³ - 9r² +8r

4th Degree 4 term Polynomial

Standard Form

100

Write in standard form

8 + 9k

9k + 8

200

Write in standard form

5k + 1 - 10k²

-10k² + 5k + 1

300

Write in Standard Form

-8 + 4p⁴ + 4p³ 

4p⁴ + 4p³ - 8

400

Write in Standard Form

-8 + 3x - 7x³ +6x² 

-7x³ + 6x² + 3x - 8

500

Write in Standard Form

2k - 3 + 4k² + 8k⁵

8k⁵ + 4k² +2k -3

Simplify

100

(8b + 4b³ + 5b²) + (4b² + 2b³ + 4b)

6b³ + 9b² + 12b

200

(8b³ - 7 - 7b²) + (7b⁴ - 4 + 3b³)

7b⁴ + 11b³ - 7b² -11

300

(5 + 7x⁴ - 6x) - (6x⁴ + 5x +6)

x⁴ - 11x - 1

400

(5n² + 4n + 3) - (2n² - 1 - 6n)

3n² + 10n + 4

500

(4 + 4a³ - 3a) - (5 - 4a³ -7a²)

8a³ + 7a² - 3a - 1

Find each Product

100

8(a² + 7a + 2)

8a² + 56a + 16

200

3y(5x - 8y)

15yx - 24y²

300

5x⁴(8x - 8y)

40x⁵ - 40x⁴y

400

3uv²(5u + 6v)

15u²v² + 18uv³

500

8k³(5k² - 3k + 2)

40k⁵ - 24k⁴ + 16k³ 

Multiplying Binomials

100

(4n + 8)(7n + 3)

28n² + 68n + 24

200

(8r + 2)(4r - 7)

32r² - 48r - 14

300

(7n + 3)(6n - 5)

42n² - 17n - 15

400

(6p + 5)(4p - 2)

24p² + 8p -10

500

(3b - 3)(6b - 7)

18b² - 39b + 21