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