Answer:
The values are a=1, b=3 and c=2
Step-by-step explanation:
Given: 
One root of the polynomial above is 5.
(x-5) must be factor of P(x)
Using synthetic division to find another factor of P(x)
Synthetic Division:
5 | 1 -2 -13 -10 |
5 15 10
1 3 2 0
At last number we get 0. This show 5 is root of P(x)
We got three number 1 3 2
using this number write another factor of P(x)

Factor of P(x)


Compare the factored expression




Hence, The values are a=1, b=3 and c=2