Factoring Over Multivariable Polynomials Calculator GCF of Polynomial Calculator Factor out the GCF from the Polynomial Calculator Determining if Polynomial is Prime LCM of Polynomials Using GCF Factoring Binomials as sum or difference of cubes Factoring Difference Square Polynomial Calculator Polynomial Root Calculator Factoring Over Complex Numbers Polynomial Equation Solver Calculator Adding Polynomials Calculator Subtracting Polynomials Calculator Multiplying Polynomials Calculator Dividing Polynomials Calculator Polynomial in Ascending Order Calculator Polynomial in Descending Order Calculator Determining if the expression is a Polynomial Degree of a Polynomial Calculator Leading 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^3-4x^2-9x+7 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^3-4x^2-9x+7 by x+1 using Remainder Theorem?

Let p(x) = x^3-4x^2-9x+7

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^3-4x^2-9x+7 .

= (7)+(x^3)+(-9.x)+(-4.x^2)

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

= (7)+((-1)^3)+(-9.(-1))+(-4.(-1)^2)

= (7)+(-1)+(9)+(-4)

= 11

∴The remainder of given polynomial is 11.

FAQs on Remainder Theorem of x^3-4x^2-9x+7 by x+1

1. What is the remainder of x^3-4x^2-9x+7 by x+1?

The Remainder of x^3-4x^2-9x+7 divided by x+1 is 11.


2. How to Find Remainder of x^3-4x^2-9x+7 by x+1 using Remainder Theorem?

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

Substitute x = -1 in expression x^3-4x^2-9x+7 to get the remiander

Thus, x^3-4x^2-9x+7 divided by x+1 remainder is 11.


3. Where can I obtain detailed solution steps for Remainder Theorem of x^3-4x^2-9x+7?

The detailed steps for the Remainder Theorem of x^3-4x^2-9x+7 are compiled exclusively on our output page.