Additional Mathematics 0606 / Factors and polynomials / 2.32.3: Factor theorem and factorisation0606/21/O/N/19 — Question 7 · 3 marksMark as done · Save for later · Show all solutionsThe polynomial p(x)=4x3+9x−5p(x) = 4x^{3} + 9x - 5p(x)=4x3+9x−5.(a)(i)Use the factor theorem to show that 2x−12x - 12x−1 is a factor of p(x)p(x)p(x).[1]▸ Answer(a)(ii)Write p(x)p(x)p(x) as a product of linear and quadratic factors.[2]▸ Answer▸ Official mark scheme← 2.9: Polynomial from given roots2.10: Integer roots of cubics →