Polynomial Operations

Addition

100

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

3x^2 + 2x + 8

200

(6x⁴ - 3x³ + 5x² - 8x + 4) + (-2x⁴ + 7x³ - x² + 2x - 3)

4x⁴ + 4x³ + 4x² - 6x + 1

300

(2x³ + 4x + 3) + (x² - 2x)

2x³ + x² + 2x + 3

400

(4x⁴ - 2x² + 7x + 1) + (3x³ + x² - 5x + 6)

4x⁴ + 3x³ - x² + 2x + 7

500

(6x⁵ - 3x³ + 5x - 8) + (-2x⁴ + 7x³ - x² + 2)

6x⁵ - 2x⁴ + 4x³ - x² + 5x - 6

Subtraction

100

(4x² + 6x - 3) - (2x² + 4x - 1)

2x² + 2x - 2

200

(7x³ - 2x² + 5x - 8) - (3x³ + x² - 4x + 2)

4x³ - 3x² + 9x - 10

300

(5x² + 3x + 7) - (2x + 4)

5x² + x + 3

400

(4x³ + 6x² - 5) - (2x² + x - 3)

4x³ + 4x² - x - 2

500

(7x⁴ - 2x³ + 5x - 8) - (4x³ + x² - 3x + 2)

7x⁴ - 6x³ - x² + 8x - 10

Multiplication

100

3x(2x² - 4x + 5)

6x³ - 12x² + 15x

200

(2x + 3)(x - 2)

2x² - x - 6

300

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

6x² + 7x - 20

400

(2x - 1)(x² + 3x + 4)

2x³ + 5x² + 5x - 4

500

(2x - 3)(x³ + 4x² - 5x + 6)

2x⁴ + 5x³ - 22x² + 27x - 18

Division

100

(8x³ + 4x² - 2x)/(2x)

4x² + 2x - 1

200

(5x⁵ - 10x⁴ + x² - 20x + 15) / (5x²)

x³ - 2x² + 1/5 - 4/x + 3/x²

300

(x² + 5x + 6) / (x + 2)

x + 3

400

(2x³ + 3x² - 2x - 5) / (x - 1) 

2x² + 5x + 3  +  (-2/(x - 1))

500

(2x³ + 5x - 6) / (x + 2)

2x² - 4x + 13  +  (-32/(x + 2))

RANDOM

100

(9x⁵ - 3x⁴ + 6x - 2) + (-5x⁵ + 2x³ - 8x² + x² - x - 4)

4x⁵ - 3x⁴ + 2x³ - 7x² + 5x - 6

200

(10x⁶ - 7x⁴ + 5x³ - 6x + 3) - (4x⁵ - 2x⁴ + 3x² - x + 9)

10x⁶ - 4x⁵ - 5x⁴ + 5x³ - 3x² - 5x - 6

300

(2x - 5)²

4x² -10x - 25

400

(x² + 2x + 1)(x² - x + 3)

x⁴ + x³ + 2x² + 5x + 3

500

(4x⁴ + 2x² - 7x + 3) / (x² - 1)

4x² + 6  +  (-7x + 9)/(x² - 1)