Find Remainder of 4x^3+x^2+x-3 by x+5 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+x^2+x-3 by x+5 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+x^2+x-3 by x+5 using Remainder Theorem?
Let p(x) = 4x^3+x^2+x-3
The zero of x+5 is = -5.
So after P(x) is divided by x+5 we get the remainder i.e. P(-5).
Now, p(-5) = 4x^3+x^2+x-3 .
= (-3)+(x)+(x^2)+(4.x^3)
By putting x = (-5) we can rewrite it as
= (-3)+((-5))+((-5)^2)+(4.(-5)^3)
= (-3)+(-5)+(25)+(-500)
= -483
∴The remainder of given polynomial is -483.
FAQs on Remainder Theorem of 4x^3+x^2+x-3 by x+5
1. What is the remainder of 4x^3+x^2+x-3 by x+5?
The Remainder of 4x^3+x^2+x-3 divided by x+5 is -483.
2. How to Find Remainder of 4x^3+x^2+x-3 by x+5 using Remainder Theorem?
Consider x+5 = 0 so that x = -5.
Substitute x = -5 in expression 4x^3+x^2+x-3 to get the remiander
Thus, 4x^3+x^2+x-3 divided by x+5 remainder is -483.
3. Where can I obtain detailed solution steps for Remainder Theorem of 4x^3+x^2+x-3?
The detailed steps for the Remainder Theorem of 4x^3+x^2+x-3 are compiled exclusively on our output page.