Question

Based on the Polynomial Remainder Theorem what is the value of the function below when x = 3.

Answer 1

Remainder = 64

Explanation:

Given equation,

`x^4+3x^3-6x^2-12x-8`

Remainder theorem says a polynomial can be reset in terms of its divisor (a) by evaluating the polynomial at x=a

Plug x=3,

`=3^4+3(3)^3-6(3)^2-12(3)-8\\=81+81-54-36-8\\=162-54-36-8\\=64`

Thus the remainder is 64 at x=3 ,using polynomial remainder theorem.