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Find Remainder of x^2-4x+5 by x+2 using Remainder Theorem

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^2-4x+5 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 x^2-4x+5 by x+2 using Remainder Theorem?

Given values are

f(x) = x^2-4x+5

x = -2.

Given Polynomial is x^2-4x+5 .

= (5)+(x^2)+(-4.x)

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

= (5)+((-2)^2)+(-4.(-2))

= (5)+(4)+(8)

= 17

The remainder of given polynomial is 17.

FAQs on Remainder Theorem of x^2-4x+5 by x+2

1. What is the remainder of x^2-4x+5 by x+2?

The Remainder of x^2-4x+5 divided by x+2 is 17.

2. How to Find Remainder of x^2-4x+5 by x+2 using Remainder Theorem?

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

Substitute x = -2 in expression x^2-4x+5 to get the remiander

Thus, x^2-4x+5 divided by x+2 remainder is 17.

3. Where can I obtain detailed solution steps for Remainder Theorem of x^2-4x+5?

The detailed steps for the Remainder Theorem of x^2-4x+5 are compiled exclusively on our output page.