Find Remainder of 6x^4+8x^3+6x^2-4x+27 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 6x^4+8x^3+6x^2-4x+27 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 6x^4+8x^3+6x^2-4x+27 by x+2 using Remainder Theorem?
Given values are
f(x) = 6x^4+8x^3+6x^2-4x+27
x = -2.
Given Polynomial is 6x^4+8x^3+6x^2-4x+27 .
= (27)+(-4.x)+(6.x^2)+(6.x^4)+(8.x^3)
By putting x = (-2) we can rewrite it as
= (27)+(-4.(-2))+(6.(-2)^2)+(6.(-2)^4)+(8.(-2)^3)
= (27)+(8)+(24)+(96)+(-64)
= 91
The remainder of given polynomial is 91.
FAQs on Remainder Theorem of 6x^4+8x^3+6x^2-4x+27 by x+2
1. What is the remainder of 6x^4+8x^3+6x^2-4x+27 by x+2?
The Remainder of 6x^4+8x^3+6x^2-4x+27 divided by x+2 is 91.
2. How to Find Remainder of 6x^4+8x^3+6x^2-4x+27 by x+2 using Remainder Theorem?
Consider x+2 = 0 so that x = -2.
Substitute x = -2 in expression 6x^4+8x^3+6x^2-4x+27 to get the remiander
Thus, 6x^4+8x^3+6x^2-4x+27 divided by x+2 remainder is 91.
3. Where can I obtain detailed solution steps for Remainder Theorem of 6x^4+8x^3+6x^2-4x+27?
The detailed steps for the Remainder Theorem of 6x^4+8x^3+6x^2-4x+27 are compiled exclusively on our output page.