Question

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

and the answer I got was 2157, am I right? If I'm not can someone please help me

Answer 1

2157

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