121k views
0 votes
Evaluate the function f(x) = x^4 + 4x^3 + 4x^2 + 14x + 1 at x = -4. What is the result?

a) -383
b) 383
c) 0
d) 49

User Olantobi
by
7.0k points

1 Answer

4 votes

Final answer:

Upon evaluating the function f(x) = x^4 + 4x^3 + 4x^2 + 14x + 1 at x = -4, the result is 9. This does not match any of the provided options, which suggests there may be an error in the question itself.

Step-by-step explanation:

To evaluate the function f(x) = x^4 + 4x^3 + 4x^2 + 14x + 1 at x = -4, we substitute -4 into the function and calculate the result:

f(-4) = (-4)^4 + 4(-4)^3 + 4(-4)^2 + 14(-4) + 1

= 256 - 256 + 64 - 56 + 1

= 256 - 256 + 64 - 55

= 0 + 64 - 55

= 64 - 55

= 9

Therefore, the result of evaluating the function at x = -4 is 9, which is not one of the options provided. There must have been a mistake in the question, as none of the given options (a) -383, (b) 383, (c) 0, (d) 49 match the evaluated result of 9.

User Flo Edelmann
by
9.1k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.