To determine if (x - 5) is a factor of the polynomial
we can use the Remainder Theorem. According to this theorem, (x - a) is a factor of p(x) if and only if p(a) = 0. Here, we will evaluate p(5).
Steps to Apply the Remainder Theorem:
1.Identify ( a ):
For (x - 5), we set ( a = 5 ).
2.Evaluate p(5):
3.Calculate each term: