To determine if (x - 6) 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(6).
Steps to Apply the Remainder Theorem:
1.Identify ( a ):
For ( (x - 6) ), we set ( a = 6 ).
2.Evaluate p(6):
3.Calculate each term: