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Find Remainder of x^2-2x+3 by x+1 using Remainder Theorem

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 x^2-2x+3 by x+1 using Remainder Theorem.

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

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How to Find Remainder of x^2-2x+3 by x+1 using Remainder Theorem?

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

The zero of x+1 is = -1.

So after P(x) is divided by x+1 we get the remainder i.e. P(-1).

Now, p(-1) = x^2-2x+3 .

= (3)+(x^2)+(-2.x)

By putting x = (-1) we can rewrite it as

= (3)+((-1)^2)+(-2.(-1))

= (3)+(1)+(2)

= 6

∴The remainder of given polynomial is 6.

FAQs on Remainder Theorem of x^2-2x+3 by x+1

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

The Remainder of x^2-2x+3 divided by x+1 is 6.

2. How to Find Remainder of x^2-2x+3 by x+1 using Remainder Theorem?

Consider x+1 = 0 so that x = -1.

Substitute x = -1 in expression x^2-2x+3 to get the remiander

Thus, x^2-2x+3 divided by x+1 remainder is 6.

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

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