Adding/Subtracting/Multiplying/Dividing Polynomials

Addition of Polynomials

100

(4x² + 2x) + (x² + 6x)

5x² +8x

200

(-3y² + y) + (4y² + 6y)

y² +7y

300

(2a² - 7a + 10) + (a² + 4a + 7)

3a² -3a +17

400

(2r² - 5r + 7) + (3r³ - 6r)

3r³ + 2r² -11r + 7

500

(5r³ - 6r² +3r) + (r² -2r - 3)

5r³ - 5r² + r - 3

Subtraction of Polynomials

100

(y² - 10xy) - (2y² + 3xy)

-y² -13xy

200

(2x² + 5x - 3) - (3x³ + 2x - 5)

-3x³ + 2x² +3x + 2

300

(-3a² - 2a) - (4a² - 4)

-7a² - 2a + 4

400

(4x³ + 5x + 2) - (1 + 2x - 3x²)

4x³ + 3x² +3x + 1

500

(4 - x - 2x²) - (-2 + 3x - x³)

x³ - 2x² - 4x + 6

Product/Power Rule

100

(6x²)(5x)

30x³

200

(x²yz)(x²y⁴)

x⁴y⁵z

300

(3xy)⁵(2x⁴y³)

486x⁹y⁸

400

2x(x + 6) 

2x² + 12x 

500

(x²)(x³)(x⁷)

x⁴²

Quotient Rule

100

12x⁶/3x⁴

What is 4x²

200

20x¹⁰ - 5x¹⁰ / 3x⁴

What is 5x⁶

300

(5x²)² / 5x²

What is 5x²?

400

6x⁹ - 3x⁹ + (4x³)³ / 11x⁵

What is 6x⁴ ?

500

(6y³)(6y³) + (2y)⁶ / 10y⁵

What is 10y ?

Negative Exponent Rule

100

(3x^-4)⁶ / 9x^-12

81 / x¹²

200

(3/2x^-7)(2x^-1)⁵

48 / x¹²

300

(5x^-2)³

125 / x⁶

400

125x^-4y⁸ / 5y¹²

25 / x⁴y⁴

500

(-6x⁴y⁶)² / (-4x^-3y⁵)³

-9x¹⁷ / 16y³