Find Remainder of -4x^3+5x^2+8 by x+3 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 -4x^3+5x^2+8 by x+3 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 -4x^3+5x^2+8 by x+3 using Remainder Theorem?
Let p(x) = -4x^3+5x^2+8
The zero of x+3 is = -3.
So after P(x) is divided by x+3 we get the remainder i.e. P(-3).
Now, p(-3) = -4x^3+5x^2+8 .
= (8)+(-4.x^3)+(5.x^2)
By putting x = (-3) we can rewrite it as
= (8)+(-4.(-3)^3)+(5.(-3)^2)
= (8)+(108)+(45)
= 71
∴The remainder of given polynomial is 71.
FAQs on Remainder Theorem of -4x^3+5x^2+8 by x+3
1. What is the remainder of -4x^3+5x^2+8 by x+3?
The Remainder of -4x^3+5x^2+8 divided by x+3 is 71.
2. How to Find Remainder of -4x^3+5x^2+8 by x+3 using Remainder Theorem?
Consider x+3 = 0 so that x = -3.
Substitute x = -3 in expression -4x^3+5x^2+8 to get the remiander
Thus, -4x^3+5x^2+8 divided by x+3 remainder is 71.
3. Where can I obtain detailed solution steps for Remainder Theorem of -4x^3+5x^2+8?
The detailed steps for the Remainder Theorem of -4x^3+5x^2+8 are compiled exclusively on our output page.