Use the Remainder Theorem and synthetic division to find the function value.Verify your answer using another method.
$f ( x ) = 4 x ^ { 3 } - 3 x + 3 , f \left( \frac { 1 } { 2 } \right)$
A)3
B)4
C)2
D)-1
E)0

Question

Use the Remainder Theorem and synthetic division to find the function value.Verify your answer using another method.
  $f ( x ) = 4 x ^ { 3 } - 3 x + 3 , f \left( \frac { 1 } { 2 } \right)$ 
A)3
B)4
C)2
D)-1
E)0

Quizplus · Accepted Answer

Using synthetic division with $ x = \frac{1}{2} $, the remainder is 2, which is $ f\left(\frac{1}{2}\right) $. Verification by direct substitution into the function also gives 2.

Use the Remainder Theorem and Synthetic Division to Find the Function