Question

Based on the polynomial remainder theorem, what is the value of the function when x = 4?

f(x)=x^4−2x^3+5x^2−20x−4

What does f(4) =

Answer 1

124

Explanation:

When x=4, substitute 4 into the function to give f(4).

`f(4) = (4)^4 - 2(4)^3 + 5(4)^2 -20(4) -4\\f(4) = 256 - 2(64) + 5(16) - 80 -4\\f(4) = 256 -128 + 80 - 80 -4\\f(4) = 128+80-80-4\\f(4) = 208-80-4\\f(4) = 128-4\\f(4) = 124`