Target Mathematics

1.13: Value of q and range of p for one real root

4PM1/2R/June/2019 — Question 1 · 7 marks

f(x)=(x3)[x2+(p2)x+q]f(x)=(x-3)[x^2+(p-2)x+q]
Given that f(0)=12f(0)=-12
(a) find the value of qq.
(2)
(b) Find the range of values of pp for which the cubic equation f(x)=0f(x)=0 has only one real root.
(5)