2.7: Factor and remainder to find another remainder

0606/22/M/J/18 — Question 3 · 6 marks

It is given that x+3x + 3 is a factor of the polynomial p(x)=2x3+ax224x+bp(x) = 2x^{3} + ax^{2} - 24x + b. The remainder when p(x)p(x) is divided by x2x - 2 is 15-15. Find the remainder when p(x)p(x) is divided by x+1x + 1.
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