###### Factoring Over Multivariable Polynomials CalculatorGCF of Polynomial CalculatorFactor out the GCF from the Polynomial CalculatorDetermining if Polynomial is PrimeLCM of Polynomials Using GCFFactoring Binomials as sum or difference of cubesFactoring Difference Square Polynomial CalculatorPolynomial Root CalculatorFactoring Over Complex NumbersPolynomial Equation Solver CalculatorAdding Polynomials CalculatorSubtracting Polynomials CalculatorMultiplying Polynomials CalculatorDividing Polynomials CalculatorPolynomial in Ascending Order CalculatorPolynomial in Descending Order CalculatorDetermining if the expression is a PolynomialDegree of a Polynomial CalculatorLeading Term of a Polynomial Calculator

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+2 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

Remainder Theorem
by

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

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

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+2 .

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

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

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

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

= 5

∴The remainder of given polynomial is 5.

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

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

The Remainder of x^2-2x+2 divided by x+1 is 5.

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

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

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

Thus, x^2-2x+2 divided by x+1 remainder is 5.

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

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