littlemisshelper
littlemisshelper littlemisshelper
  • 15-01-2019
  • Mathematics
contestada

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) =

Respuesta :

MrsStrong
MrsStrong MrsStrong
  • 16-01-2019

Answer:

124

Step-by-step explanation:

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

[tex]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[/tex]

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