Further Pure Mathematics 4PM1 / Sketching Polynomials / 1.121.12: Cubic Roots and a Parameter4PM1/2R/June/2019 — Question 1 · 7 marksMark as done · Save for laterf(x)=(x−3)[x2+(p−2)x+q].f(x)=(x-3)\left[x^2+(p-2)x+q\right].f(x)=(x−3)[x2+(p−2)x+q].Given that f(0)=−12\displaystyle f(0)=-12f(0)=−12,(a) find the value of q\displaystyle qq.(2)(b) Find the range of values of p\displaystyle pp for which the cubic equation f(x)=0\displaystyle f(x)=0f(x)=0 has only one real root.(5)▸ Mark scheme← 1.15: 4PM1/1/January/2019 — Question 81.13: 4PM1/2R/June/2019 — Question 2 →