2.3: Factor theorem and factorisation

0606/21/O/N/19 — Question 7 · 3 marks

The polynomial p(x)=4x3+9x5p(x) = 4x^{3} + 9x - 5.
(a)(i)
Use the factor theorem to show that 2x12x - 1 is a factor of p(x)p(x).
[1]
(a)(ii)
Write p(x)p(x) as a product of linear and quadratic factors.
[2]