8.1 Adding/Subtracting/Naming Polynomials

Adding Polynomials

100

(5p² - 3) + (2p² - 3p³)

-3p³ + 7p² - 3

200

(4 + 2n³) + (5n³ + 2)

7n³ + 6

300

(-4k⁴ + 14 + 3k²) + (-3k⁴ - 14k² - 8)

-7k⁴ - 11k² + 6

400

(-x⁴ + 13x⁵ + 6x³) + (6x³ + 5x⁵ + 7x⁴)

18x⁵ + 6x⁴ + 12x³

500

(-10k² + 7k + 6k⁴) + (-14 -4k⁴ - 14k)

2k⁴ - 10k² - 7k - 14 

Subtracting Polynomials

100

(a³ - 2a²) - (3a² - 4a³)

5a³ - 5a²

200

(-3n³ + 4n) - (3n³ + 4n)

-6n³

300

(-6n⁵ - 8n⁴ + 3) - (-8n⁵ -6n⁴ -3n)

2n⁵ - 2n⁴ + 3n + 3

400

(8n - 3n⁴ + 10n²) - (3n² + 11n⁴ - 7)

-14n⁴ + 7n² + 8n + 7

500

(-7n² + 8n - 4) - (-11n + 2 - 14n²)

-21n² + 19n - 2

Find the Degree

100

6

0

200

5x⁶

6

300

3xy

2

400

5x³y⁵

8

500

5x³ - 7x² + 19

3

Name the Polynomial

100

6x - 8

linear Binomial

200

5x² - 10x + 4

Quadratic Trinomial

300

3x³

Cubic Monomial

400

8

constant monomial

500

-17x⁴ + 14x³ - 12x² + 8x - 6

4^th degree polynomial

Mrs. G Trivia

100

*DOUBLE JEOPARDY*

Where did Mrs. G go to college?

KU (Fort hays for masters!)

200

How many kids does Mrs. G have?

2

300

How many siblings does Mrs. G have?

5

400

What is the name of Mrs. G's husband?

Jacob

500

In what town did Mrs. G grow up?

McPherson