4.01: Polynomial factor and roots

0606/12/F/M/26 — Question 1 · 4 marks

A polynomial \(p\) is given by \(p(x)=4x^3+8x^2-x-2\).
(a)
Show that \(x+2\) is a factor of \(p(x)\).
[1]
(b)
Solve the equation \(p(x)=0\).
[3]