The polynomial has as a factor.

MATHEMATICS · Multi-part · AoPS · Mathematics · Special Factorizations · Special Factorizations

Problem

The polynomial p(x)=x3+3x2+ax−4p(x)=x^{3}+3x^{2}+ax-4 has (x+2)(x+2) as a factor. (a) Find the value of aa. (b) Hence factorise p(x)p(x) completely.

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