3.23: Polynomial factors via remainder theorem

0606/13/M/J/25 — Question 3 · 5 marks · Equations

The polynomial pp is such that p(x)=x3+Ax+30p(x) = x^{3} + Ax + 30, where AA is a constant. When p(x)p(x) is divided by x+2x + 2 the remainder is 8484.
Write p(x)p(x) as a product of linear factors.
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