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

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

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

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

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

= (3)+(1)+(-3)

= 1

∴The remainder of given polynomial is 1.

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

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

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

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

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

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

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

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

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