Further Pure Mathematics 4PM1 / Sketching Polynomials / 1.111.11: Factorising a Cubic Polynomial4PM1/1/June/2019 — Question 1 · 4 marksMark as done · Save for laterThe function f\displaystyle ff is defined byf(x)=x3+2x2−5x−6.f(x)=x^3+2x^2-5x-6.f(x)=x3+2x2−5x−6.(a) Factorisex2−x−2.x^2-x-2.x2−x−2.(1)(b) Hence, or otherwise, show that (x2−x−2)\displaystyle (x^2-x-2)(x2−x−2) is a factor of f(x)\displaystyle f(x)f(x).(3)▸ Mark scheme← 1.3: 4PM1/2R/November/2020 — Question 21.14: 4PM1/1/January/2019 — Question 3 →