Polynomials

Rules

100

2a + 3a

5a

200

2a * 3a

6a²

300

Put in standard form:

x + 3x² - 11 + 9x⁴

9x⁴ + 3x² + x - 11

400

(2ab + 2a + 2b) + (3a + 4b + 5ab)

7ab + 5a + 6b

500

x * x² * x³ * x⁴ * x⁵

x¹⁵

Adding and Subtracting

100

(2x² + 3x) + 5x

2x² + 8x

200

(3x² + x) - (x² + 4)

2x² +x - 4

300

(5x³ - x² + 1) + (-2x³ + x² - x)

3x³ - x + 1

400

(7x⁴ - 3x³ + x²) - (10x³ + 4x² + 7)

7x⁴ -13x³ -3x² - 7

500

(x⁴ - 2x³ + 10x) - (2x⁴ - 2x³ + 10x)

-x⁴

Multiplying by a Monomial

100

x(x+1)

x² + x

200

2x(x² +2)

2x³ + 4x

300

3xy(x + 1)

3x²y + 3xy

400

4x³(x² + 2x)

4x⁵ + 8x⁴

500

4a²b(3a + 2b)

12a³b + 8a²b²

Multiplying Polynomials

100

(x + 1)(x + 1)

x² + 2x + 1

200

(x + 2)(2x + 1)

2x² + 5x + 2

300

(x² + 2)(x + 1)

x³ + x² + 2x + 2

400

(x + 3y + 1)(x + y)

x² + 4xy + 3y² + x + y

500

(x³ + 3x² + 5)(x² + 2x) 

x⁵ + 5x⁴ + 6x³ + 5x² + 10x

Trivia

100

Which planet is known as the "Red Planet"

Mars

200

Which element in the periodic table has the chemical symbol O

Oxygen

300

In Greek mythology, who is the god of the sea?

Poseidon

400

Which US state is the Garden State

New Jersey

500

What is the capital of France

Paris