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
How to Find Remainder of x^2-4x+5 by x+2 using Remainder Theorem?
Let p(x) = x^2-4x+5
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) = 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.