Find Remainder of x^3+3x^2+8x+12 by x-1 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 x^3+3x^2+8x+12 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
How to Find Remainder of x^3+3x^2+8x+12 by x-1 using Remainder Theorem?
Let p(x) = x^3+3x^2+8x+12
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+3x^2+8x+12 .
= (12)+(x^3)+(3.x^2)+(8.x)
By putting x = (1) we can rewrite it as
= (12)+((1)^3)+(3.(1)^2)+(8.(1))
= (12)+(1)+(3)+(8)
= 24
∴The remainder of given polynomial is 24.
FAQs on Remainder Theorem of x^3+3x^2+8x+12 by x-1
1. What is the remainder of x^3+3x^2+8x+12 by x-1?
The Remainder of x^3+3x^2+8x+12 divided by x-1 is 24.
2. How to Find Remainder of x^3+3x^2+8x+12 by x-1 using Remainder Theorem?
Consider x-1 = 0 so that x = 1.
Substitute x = 1 in expression x^3+3x^2+8x+12 to get the remiander
Thus, x^3+3x^2+8x+12 divided by x-1 remainder is 24.
3. Where can I obtain detailed solution steps for Remainder Theorem of x^3+3x^2+8x+12?
The detailed steps for the Remainder Theorem of x^3+3x^2+8x+12 are compiled exclusively on our output page.