operations with polynomials

adding/subtracting

100

(15x + 7x² - 12) + (14 - 25x + 6x²)

13x² - 10x + 2

200

3x(4 + 6x - 5x³) + (-12x² + 10x⁴ - 7)

-5x⁴ + 6x² + 12x -7

300

(2x - 7 + 4x²) + 5(3 - 2x² + x)

-6x² + 7x + 8

400

3x(4 - 2x + 7x²) + 2(-6 + 2x - 8x² - 12x³)

-3x³ -22x² + 16x -12

500

3x(x² - 10x + 4) - 2(3x³ + 6x² - 13x - 2)

-3x³ - 42x² + 38x + 4

classifying

100

22x - 14 + 6x⁴

Quartic trinomial

200

56x² - 215

Quadratic Binomial

300

4x³ + 56x² - 3x + 75

Cubic Polynomial

400

5x²

Quadratic Monomial

500

5 - 2x

Linear Binomial

multiplying

100

(2x - 6)(3x + 5)

6x² - 8x - 30

200

(x - 6)(4x² + 2x - 7)

4x³ -22x² -19x +42

300

(x - 5)² 

x² - 10x + 25

400

3x(2x + 4)(x - 6)

6x³ - 24x² - 72x

500

(2x - 3) 4x (x² + 5x - 1)

8x⁴ + 28x³ - 68x² + 12x