Classifying Polynomials

Classifying

100

A polynomial with only one term, such as 5x.

Monomial

200

Name for a polynomial with a degree of 3.

Cubic

300

Classify based on # of terms AND degree.

5x² + 7x

Quadratic Binomial

400

Classify based on # of terms AND degree.

10x + x² - 5x³

Cubic Trinomial

500

Classify based on # of terms AND degree.

-2.5k² - 7.9k + k⁵ + 2 - k³

Quintic Polynomial

Standard Form/Leading Coefficient

100

Identify the leading coefficient

8x³ + 7x - 3

LC = 8

200

Identify the leading coefficient

6x³ + 10x - 2x⁴ + 1

LC = -2

300

Write this in standard form.

3x⁴ + 2x³ + 7x⁵

7x⁵ + 3x⁴ + 2x³

400

Write this in standard form and identify the leading coefficient.

-6x + 2x² - 7x⁴

-7x⁴ + 2x² - 6x

LC = -7

500

Write in standard form and identify the leading coefficient.

-5.8m³ - 2m⁷ + m - 4m² - 3.2m⁵

-2m⁷ - 3.2m⁵ - 5.8m³ - 4m² + m

LC = -2

Combining Like-Terms

100

Add

8x + 4x

12x

200

Add

6x³ + 2x³ + 3x³

11x³

300

Subtract

10x⁵ - 4x⁵ - 2x⁵

4x⁵

400

Simplify by combining like-terms and write final answer in standard form.

8x² + 4x³ + 5x³ + 2x²

9x³ + 10x²

500

Simplifying by combining like terms and write final answer in standard form.

-5x³ + 2x⁴ - 6x⁴ + 2x³ + 7x⁵

7x⁵ - 4x⁴ - 3x³

Trivia

100

What was the first soda drink in space?

Coca Cola

200

What is the name of the World's largest ocean?

Pacific Ocean

300

Which animal can be seen on the Porsche logo?

Horse

400

What is the name of the biggest technology company in South Korea?

Samsung

500

What is the only edible food that never goes bad?

Honey