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Polynomial Division of Two Expressions (3x^4-4x^2+8x-1)/(x-2) 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^4-4x^2+8x-1)/(x-2) and get the result as Quotient 3 x^3 + 6 x^2 + 8 x + 24 Remainder 47 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^4-4x^2+8x-1)/(x-2)

The given expression is (3x^4-4x^2+8x-1)/(x-2)

The Divident is 3 x^4 - 4 x^2 + 8 x - 1 and Divisor is x - 2

x - 2)3 x^4 - 4 x^2 + 8 x - 1(3 x^3 + 6 x^2 + 8 x + 24
- 3 x^4 + 6 x^3

-------------------
6 x^3 - 4 x^2 + 8 x - 1

- 6 x^3 + 12 x^2

--------------------
8 x^2 + 8 x - 1

- 8 x^2 + 16 x

----------------
24 x - 1

48 - 24 x

---------
47

After the division the quotient is 3 x^3 + 6 x^2 + 8 x + 24 and reminder is 47

Frequently Asked Questions on Polynomials Division of (3x^4-4x^2+8x-1)/(x-2)

1. What is the quotient & remainder for polynomial division (3x^4-4x^2+8x-1)/(x-2)?

For the given polynomial division expressions (3x^4-4x^2+8x-1)/(x-2) the quotient is 3 x^3 + 6 x^2 + 8 x + 24 and the remainder is 47.

2. How do you perform the division of two polynomials (3x^4-4x^2+8x-1)/(x-2)?

By using a polynomial long division calculator, you can easily perform division of two polynomials ie., (3x^4-4x^2+8x-1)/(x-2) and get the output ie., the quotient 3 x^3 + 6 x^2 + 8 x + 24 and the remainder 47 in a short time.

3. Where can I get detailed solution steps for polynomial division (3x^4-4x^2+8x-1)/(x-2)?

You can easily find the detailed solution steps for polynomial division (3x^4-4x^2+8x-1)/(x-2) from our page. Else, visit our factorpolynomials.com website and check out the other polynomial concepts calculators for easy calculations.