4.04: Polynomial factorisation and substitution

0606/13/M/J/26 — Question 4 · 6 marks

\(p(x)=4x^3-5x^2-7x+2\).
(a)
Show that \(x-2\) is a factor of \(p(x)\).
[1]
(b)
Express \(p(x)\) as a product of linear factors.
[3]
(c)
Hence solve \(4u^6-5u^4-7u^2+2=0\).
[2]