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Polynomial Division of (3x^2y+6x^2y^2-xy^2)/(3xy)

Created By : Rina Nayak

Reviewed By : Rina Nayak

Last Updated : Apr 13, 2023

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)

Calculate Division of two Polynomials:
Polynomial Division of (3x^4-2x^3+11)/(-3x^4)

How to Perform Polynomial Division of (3x^2y+6x^2y^2-xy^2)/(3xy)

The Provided expression is (3x^2y+6x^2y^2-xy^2)/(3xy)


The Divident is x y \left(6 x y + 3 x - y\right) and Divisor is 3 x y

3 x y)x y \left(6 x y + 3 x - y\right)(18 x y^3 + 9 x y^2 - 3 y^3
     - 54 x^2 y^4

     ----------------
      - 54 x^2 y^4 + 6 x^2 y^2 + 3 x^2 y - x y^2

      - 27 x^2 y^3

      ----------------
       - 54 x^2 y^4 - 27 x^2 y^3 + 6 x^2 y^2 + 3 x^2 y - x y^2

       9 x y^4

       ---------
        - 54 x^2 y^4 - 27 x^2 y^3 + 6 x^2 y^2 + 3 x^2 y + 9 x y^4 - x y^2

So, After the division we get,

The quotient is 18 x y^3 + 9 x y^2 - 3 y^3 and reminder is 0

So,(3x^2y+6x^2y^2-xy^2)/(3xy) = 18 x y^3 + 9 x y^2 - 3 y^3

FAQs on Dividing Polynomials (3x^2y+6x^2y^2-xy^2)/(3xy)

1. Determine the quotient & remainder for polynomial division (3x^2y+6x^2y^2-xy^2)/(3xy)?

The required quotient is 18 x y^3 + 9 x y^2 - 3 y^3 and the remainder is 0 for the given polynomial division expressions (3x^2y+6x^2y^2-xy^2)/(3xy).

2. How to divide polynomials (3x^2y+6x^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+6x^2y^2-xy^2)/(3xy)?

The division of polynomials (3x^2y+6x^2y^2-xy^2)/(3xy) is 18 x y^3 + 9 x y^2 - 3 y^3.

4. How do you perform the division of two polynomials (3x^2y+6x^2y^2-xy^2)/(3xy)?

By using a polynomial long division calculator, you can easily perform division of two polynomials ie., (3x^2y+6x^2y^2-xy^2)/(3xy) and get the output ie., the quotient 18 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+6x^2y^2-xy^2)/(3xy)?

You can easily find the detailed solution steps for polynomial division (3x^2y+6x^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.