Factoring Over Multivariable Polynomials Calculator GCF of Polynomial Calculator Factor out the GCF from the Polynomial Calculator Determining if Polynomial is Prime LCM of Polynomials Using GCF Factoring Binomials as sum or difference of cubes Factoring Difference Square Polynomial Calculator Polynomial Root Calculator Factoring Over Complex Numbers Polynomial Equation Solver Calculator Adding Polynomials Calculator Subtracting Polynomials Calculator Multiplying Polynomials Calculator Dividing Polynomials Calculator Polynomial in Ascending Order Calculator Polynomial in Descending Order Calculator Determining if the expression is a Polynomial Degree of a Polynomial Calculator Leading Term of a Polynomial Calculator

Polynomial Division of Two Expressions (3x^3y^-1z^-1)/(x-4yz) using Polynomial Long Division Method

Take the help of Polynomial Long Division Calculator and determine the long polynomial division for the input expressions ie., (3x^3y^-1z^-1)/(x-4yz) and get the result as Quotient 3 x^2 y + 12 x y^2 z + 48 y^3 z^2 Remainder 192 y^4 z^3 within a fraction of seconds along with an elaborate explanation.

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

Step by Step Solution for Polynomial Division of (3x^3y^-1z^-1)/(x-4yz)

The given expression is (3x^3y^-1z^-1)/(x-4yz)

The Divident is 3 x^3 y and Divisor is x - 4 y z

x - 4 y z)3 x^3 y(3 x^2 y + 12 x y^2 z + 48 y^3 z^2
- 3 x^3 y + 12 x^2 y^2 z

------------------------------
12 x^2 y^2 z

- 12 x^2 y^2 z + 48 x y^3 z^2

-------------------------------------
48 x y^3 z^2

- 48 x y^3 z^2 + 192 y^4 z^3

------------------------------------
192 y^4 z^3

After the division the quotient is 3 x^2 y + 12 x y^2 z + 48 y^3 z^2 and reminder is 192 y^4 z^3

Frequently Asked Questions on Polynomials Division of (3x^3y^-1z^-1)/(x-4yz)

1. What is the quotient & remainder for polynomial division (3x^3y^-1z^-1)/(x-4yz)?

For the given polynomial division expressions (3x^3y^-1z^-1)/(x-4yz) the quotient is 3 x^2 y + 12 x y^2 z + 48 y^3 z^2 and the remainder is 192 y^4 z^3.

2. How do you perform the division of two polynomials (3x^3y^-1z^-1)/(x-4yz)?

By using a polynomial long division calculator, you can easily perform division of two polynomials ie., (3x^3y^-1z^-1)/(x-4yz) and get the output ie., the quotient 3 x^2 y + 12 x y^2 z + 48 y^3 z^2 and the remainder 192 y^4 z^3 in a short time.

3. Where can I get detailed solution steps for polynomial division (3x^3y^-1z^-1)/(x-4yz)?

You can easily find the detailed solution steps for polynomial division (3x^3y^-1z^-1)/(x-4yz) from our page. Else, visit our factorpolynomials.com website and check out the other polynomial concepts calculators for easy calculations.