4.03: Polynomial factorisation and substitution

0606/12/M/J/26 — Question 3 · 7 marks

\(p(x)=6x^3-x^2-5x+2\).
(a)
Find the remainder when \(p(x)\) is divided by \(x+2\).
[1]
(b)
Express \(p(x)\) as a product of linear factors.
[4]
(c)
Hence solve \(6u^6-u^4-5u^2+2=0\).
[2]