Question

Question - Find each f(c) using synthetic substitution. f(x) =5x 5 + 10x 4 + 3x 3 + 8x 2 – 6x – 3; c = 3

Answer 1

Answer:

2157

Step-by-step explanation:

The given function is

$f(x)=5x^5+10x^4+3x^3+8x^2-6x-3$

We want to find f(c) when c=3.

This means the remainder when f(x) is divided by x-3

We perform the synthetic division:

    5     10      3      8       -6      -3

3|         15    75    234    726    2160

    5     25    78    242    720    2157

Therefore the remainder is 2157

You are right