# Polynomial Division of (3x^2y+9x^2y^2-xy^2)/(3xy)

Dividing polynomials refers to one of the arithmetic operations functions on two given polynomials. Here you can check the answer for the Polynomial Division of (3x^4-2x^3+11)/(-3x^4).

**Ex: **(x^2+2x+8)/(x+8) (or) (x^3+5x+7)/(x+6) (or) (x^4+2x+8)/(x+6)

## How to Perform Polynomial Division of (3x^2y+9x^2y^2-xy^2)/(3xy)

The Provided expression is (3x^2y+9x^2y^2-xy^2)/(3xy)

The Divident is x y \left(9 x y + 3 x - y\right) and Divisor is 3 x y

3 x y)x y \left(9 x y + 3 x - y\right)(27 x y^3 + 9 x y^2 - 3 y^3

- 81 x^2 y^4

----------------

- 81 x^2 y^4 + 9 x^2 y^2 + 3 x^2 y - x y^2

- 27 x^2 y^3

----------------

- 81 x^2 y^4 - 27 x^2 y^3 + 9 x^2 y^2 + 3 x^2 y - x y^2

9 x y^4

---------

- 81 x^2 y^4 - 27 x^2 y^3 + 9 x^2 y^2 + 3 x^2 y + 9 x y^4 - x y^2

So, After the division we get,

The quotient is 27 x y^3 + 9 x y^2 - 3 y^3 and reminder is 0

So,(3x^2y+9x^2y^2-xy^2)/(3xy) = 27 x y^3 + 9 x y^2 - 3 y^3

### FAQs on Dividing Polynomials (3x^2y+9x^2y^2-xy^2)/(3xy)

**1. Determine the quotient & remainder for polynomial division (3x^2y+9x^2y^2-xy^2)/(3xy)?**

The required quotient is 27 x y^3 + 9 x y^2 - 3 y^3 and the remainder is 0 for the given polynomial division expressions (3x^2y+9x^2y^2-xy^2)/(3xy).

**2. How to divide polynomials (3x^2y+9x^2y^2-xy^2)/(3xy)?**

We can divide polynomials by using the long division method. Divide every term of the divisor with the dividend and get the quotient and remainder.

**3. What is the Polynomial Division of (3x^2y+9x^2y^2-xy^2)/(3xy)?**

The division of polynomials (3x^2y+9x^2y^2-xy^2)/(3xy) is 27 x y^3 + 9 x y^2 - 3 y^3.

**4. How do you perform the division of two polynomials (3x^2y+9x^2y^2-xy^2)/(3xy)?**

By using a polynomial long division calculator, you can easily perform division of two polynomials ie., (3x^2y+9x^2y^2-xy^2)/(3xy) and get the output ie., the quotient 27 x y^3 + 9 x y^2 - 3 y^3 and the remainder 0 in a short time.

**5. Where can I get detailed solution steps for polynomial division (3x^2y+9x^2y^2-xy^2)/(3xy)?**

You can easily find the detailed solution steps for polynomial division (3x^2y+9x^2y^2-xy^2)/(3xy) from our page. Else, visit our factorpolynomials.com website and check out the other polynomial concepts calculators for easy calculations.