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Created By : Rina Nayak

Reviewed By : Rina Nayak

Last Updated : Apr 19, 2023

The Remainder Theorem is an approach to Euclidean polynomial division. According to this theorem, dividing a polynomial P(x) by a factor (x - a), which is not an element of the polynomial, yields a smaller polynomial and a remainder. Here you can check the answer for Find Remainder of 2x^3-x^2+10x by x+2 using Remainder Theorem.

Ex: x^2+2x+1,x+1 (or) x^2-1,x-1 (or) x^3-1,x+1

Remainder Theorem
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## How to Find Remainder of 2x^3-x^2+10x by x+2 using Remainder Theorem?

Let p(x) = 2x^3-x^2+10x

The zero of x+2 is = -2.

So after P(x) is divided by x+2 we get the remainder i.e. P(-2).

Now, p(-2) = 2x^3-x^2+10x .

= (x)+(2.x^2 - x + 10)

By putting x = (-2) we can rewrite it as

= ((-2))+(2.(-2)^2 - (-2) + 10)

= (-2)+(20)

= -40

∴The remainder of given polynomial is -40.

### FAQs on Remainder Theorem of 2x^3-x^2+10x by x+2

1. What is the remainder of 2x^3-x^2+10x by x+2?

The Remainder of 2x^3-x^2+10x divided by x+2 is -40.

2. How to Find Remainder of 2x^3-x^2+10x by x+2 using Remainder Theorem?

Consider x+2 = 0 so that x = -2.

Substitute x = -2 in expression 2x^3-x^2+10x to get the remiander

Thus, 2x^3-x^2+10x divided by x+2 remainder is -40.

3. Where can I obtain detailed solution steps for Remainder Theorem of 2x^3-x^2+10x?

The detailed steps for the Remainder Theorem of 2x^3-x^2+10x are compiled exclusively on our output page.