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Unattributed TMUA Mock Set A Paper 2 · Q9

Paper 2CalculusFunctions & graphsAlgebra

The function f(x)=x3+ax2+bx+cf(x)=x^3+ax^2+bx+c has two distinct stationary points at x1x_1 and x2x_2, and f(x1)=x1f(x_1)=x_1. How many distinct solutions does the equation

3(f(x))2+2af(x)+b=03(f(x))^2+2af(x)+b=0

have?

A22
B33
C44
D55
E66

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