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 3x^6+3x^4-3x^2+6 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
Given values are
f(x) = 3x^6+3x^4-3x^2+6
x = -1.
Given Polynomial is 3x^6+3x^4-3x^2+6 .
By putting x = (-1) we can rewrite it as
The remainder of given polynomial is 9.
1. What is the remainder of 3x^6+3x^4-3x^2+6 by x+1?
The Remainder of 3x^6+3x^4-3x^2+6 divided by x+1 is 9.
2. How to Find Remainder of 3x^6+3x^4-3x^2+6 by x+1 using Remainder Theorem?
Consider x+1 = 0 so that x = -1.
Substitute x = -1 in expression 3x^6+3x^4-3x^2+6 to get the remiander
Thus, 3x^6+3x^4-3x^2+6 divided by x+1 remainder is 9.
3. Where can I obtain detailed solution steps for Remainder Theorem of 3x^6+3x^4-3x^2+6?
The detailed steps for the Remainder Theorem of 3x^6+3x^4-3x^2+6 are compiled exclusively on our output page.