Exponents & Polynomials

Classifying Polynomials

100

Classify the following equation:

x² + 3x - 2

Quadratic Trinomial

200

Classify the following equation:

2x⁵ - 6x³ - 4x + 16

Quintic Polynomial

300

Classify the following equation:

7x + 4x³

Cubic Binomial

400

Classify the following equation:

24

Constant Monomial

500

Classify the following equation:

7x² + x - 5x⁴ + 32

Quartic Polynomial

Exponent Rules

100

Simplify the following expression.

m² * m⁹

m¹¹

200

Simplify the following expression.

3c⁴ * 2c⁵

6c⁹

300

Simplify the following expression.

(4m³)²

16m⁶

400

Simplify the following expression.

(c⁶ d⁸)/(c⁹ d⁵ )

d³ / c³

500

Simplify the following expression.

(3m²p³)⁴ * (6m⁷p⁹)³

17496m²⁹p³⁹

Adding Polynomials

100

Simplify the following expression

(2x + 4) + (3x -2)

5x + 2

200

Simplify the following expression.

(2x² - 3x +4) + (7x + 9)

2x² +4x + 13

300

Simplify the following expression.

(2x² + 6x - 3) + (-6x² + x - 4)

-4x² + 7x - 7

400

Simplify the following expression.

(6 - 20x + 6x³) + (2x² - 15x)

6x³ + 2x² -35x + 6

500

Simplify the following expression.

(6x⁴ - 2x² + 4x³) + (3x² - 15x³ +7)

6x⁴ -11x³ + x² +7

Subtracting Polynomials

100

(3x - 4) - (x + 8)

2x - 12

200

Simplify the following expression.

(5x² - 2x +7) - (3x + 12)

5x² -5x -5

300

Simplify the following expression.

(x² + 4x - 3) - (-2x² + 5x - 9)

3x² - x + 6

400

Simplify the following expression.

(8 - 15x + 7x³) - (13x² - 4x)

7x³ -13x² -11x +8

500

Simplify the following expression.

(2x⁴ - 5x² + 9x³) - (-8x² - 13x³ +12)

2x⁴ + 22x³ + 3x² - 12

Multiplying Polynomials

100

Simplify the following expression.

(x + 1) * (x - 2)

x² - x -2

200

Simplify the following expression.

(x + 2)²

x² + 4x + 4

300

Simplify the following expression.

(2x + 6) * (x + 3)

2x² +12x +18

400

Simplify the following expression.

(3x - 5) * (2x + 4)

6x² + 2x - 20

500

Simplify the following expression.

(3x² +5) * (4x - 3)

12x³ - 9x² + 20x -15