Use synthetic division and the Remainder Theorem to find the indicated function value.
-$$f ( x ) = 5 x ^ { 4 } + 7 x ^ { 3 } + 6 x ^ { 2 } - 4 x + 51 ; f ( 4 )$$
A) 1859
B) 701
C) 3596
D) 6563

Question

Quizplus · Accepted Answer

Using synthetic division to evaluate $f(4)$, we set up the division with 4 and the coefficients of $f(x)$: 5, 7, 6, -4, 51. The process yields a remainder of 1859, which, according to the Remainder Theorem, equals $f(4)$.

Use Synthetic Division and the Remainder Theorem to Find the Indicated