# Find Remainder of 5x^3+x^2+x-9 by x+7 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 5x^3+x^2+x-9 by x+7 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 5x^3+x^2+x-9 by x+7 using Remainder Theorem?

Given values are

f(x) = 5x^3+x^2+x-9

x = -7.

Given Polynomial is 5x^3+x^2+x-9 .

= (-9)+(x)+(x^2)+(5.x^3)

By putting x = (-7) we can rewrite it as

= (-9)+((-7))+((-7)^2)+(5.(-7)^3)

= (-9)+(-7)+(49)+(-1715)

= -1682

The remainder of given polynomial is -1682.

### FAQs on Remainder Theorem of 5x^3+x^2+x-9 by x+7

1. What is the remainder of 5x^3+x^2+x-9 by x+7?

The Remainder of 5x^3+x^2+x-9 divided by x+7 is -1682.

2. How to Find Remainder of 5x^3+x^2+x-9 by x+7 using Remainder Theorem?

Consider x+7 = 0 so that x = -7.

Substitute x = -7 in expression 5x^3+x^2+x-9 to get the remiander

Thus, 5x^3+x^2+x-9 divided by x+7 remainder is -1682.

3. Where can I obtain detailed solution steps for Remainder Theorem of 5x^3+x^2+x-9?

The detailed steps for the Remainder Theorem of 5x^3+x^2+x-9 are compiled exclusively on our output page.