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Given:
The polynomial is divided by (x+2).
To find:
The remainder.
Solution:
Remainder theorem: If a polynomial p(x) is divided by (x-c), then the remainder is p(c).
Consider the polynomial:
It is divided by (x+2). So, by the remainder theorem the remainder is p(-2).
Substituting x=-2 in the above polynomial, we get
Therefore, the remainder is -9.