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+8 using Remainder Theorem.

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

Given values are

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

x = -8.

Given Polynomial is x^2-2x+2 .

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

By putting x = (-8) we can rewrite it as

= (2)+((-8)^2)+(-2.(-8))

= (2)+(64)+(16)

= 82

The remainder of given polynomial is 82.

**1. What is the remainder of x^2-2x+2 by x+8?**

The Remainder of x^2-2x+2 divided by x+8 is 82.

**2. How to Find Remainder of x^2-2x+2 by x+8 using Remainder Theorem?**

Consider x+8 = 0 so that x = -8.

Substitute x = -8 in expression x^2-2x+2 to get the remiander

Thus, x^2-2x+2 divided by x+8 remainder is 82.

**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.