# Polynomial Division of (3y^3+2y^2-7y+2)/(3y-1)

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 (3y^3+2y^2-7y+2)/(3y-1)

The Provided expression is (3y^3+2y^2-7y+2)/(3y-1)

The Divident is 3 y^3 + 2 y^2 - 7 y + 2 and Divisor is 3 y - 1

3 y - 1)3 y^3 + 2 y^2 - 7 y + 2(27 y^2 + 27 y - 54

- 81 y^3 + 27 y^2

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- 78 y^3 + 29 y^2 - 7 y + 2

- 81 y^2 + 27 y

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- 78 y^3 - 52 y^2 + 20 y + 2

162 y - 54

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- 78 y^3 - 52 y^2 + 182 y - 52

So, After the division we get,

The quotient is 27 y^2 + 27 y - 54 and reminder is 0

So,(3y^3+2y^2-7y+2)/(3y-1) = 27 y^2 + 27 y - 54

### FAQs on Dividing Polynomials (3y^3+2y^2-7y+2)/(3y-1)

**1. Determine the quotient & remainder for polynomial division (3y^3+2y^2-7y+2)/(3y-1)?**

The required quotient is 27 y^2 + 27 y - 54 and the remainder is 0 for the given polynomial division expressions (3y^3+2y^2-7y+2)/(3y-1).

**2. How to divide polynomials (3y^3+2y^2-7y+2)/(3y-1)?**

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 (3y^3+2y^2-7y+2)/(3y-1)?**

The division of polynomials (3y^3+2y^2-7y+2)/(3y-1) is 27 y^2 + 27 y - 54.

**4. How do you perform the division of two polynomials (3y^3+2y^2-7y+2)/(3y-1)?**

By using a polynomial long division calculator, you can easily perform division of two polynomials ie., (3y^3+2y^2-7y+2)/(3y-1) and get the output ie., the quotient 27 y^2 + 27 y - 54 and the remainder 0 in a short time.

**5. Where can I get detailed solution steps for polynomial division (3y^3+2y^2-7y+2)/(3y-1)?**

You can easily find the detailed solution steps for polynomial division (3y^3+2y^2-7y+2)/(3y-1) from our page. Else, visit our factorpolynomials.com website and check out the other polynomial concepts calculators for easy calculations.