Answer:
2157
Step-by-step explanation:
The given function is
[tex]f(x)=5x^5+10x^4+3x^3+8x^2-6x-3[/tex]
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