To find the remainder of the polynomial when divided by (x + 2), we will use the Remainder Theorem. According to this theorem, the remainder of the division of a polynomial p(x) by ( x - a) is equal to p(a). In this case, since we are dividing by (x + 2), we set ( a = -2 ).
Steps to Find the Remainder:
1.Identify ( a ):
Since we are dividing by (x + 2), we set ( a = -2 ).
2.Evaluate p(-2):
3.Calculate each term: