How do you divide $(2x^3-x+1)div(x^2+x+1)$ using synthetic division?

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Answer 1 · 2018-01-17T13:56:33

$color(blue)((2x^3 - x +1)/(x^2+x+1) = 2x -2 + (-x+3)/(x^2+x+1))$

Synthetic Division is used to divide polynomials by binomials of the form $color(green)((x-a)$

Polynomial Long Division Method is used to divide polynomials by other polynomials

Hence, Polynomial Long Division Method is used to provide a solution for the given problem.

We will now perform the Polynomial Long Division using

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Hence, the **Quotient = ** $2x - 2$

**Remainder = ** $(-x+3)$

Hence, the Result of our Long Polynomial Division is

$color(blue)(2x -2 + (-x+3)/(x^2+x+1)$

Hope you find this solution useful.

How do you divide (2x^3-x+1)div(x^2+x+1)(2x^3-x+1)div(x^2+x+1) using synthetic division?