Use the Remainder Theorem to find the value of f(12)

Question

if f(x)=14x3−18x+3
.(1 point)
Responses

9532
Start Fraction 95 over 32 End Fraction

258
Start Fraction 25 over 8 End Fraction

194
Start Fraction 19 over 4 End Fraction

3

Answer 1

To use the Remainder Theorem, we substitute the value 12 into the given function:

f(12) = 14(12)^3 - 18(12) + 3
= 14(1728) - 216 + 3
= 24192 - 216 + 3
= 23879.

Therefore, the value of f(12) is 23879.