The function f is defined by $f(x) = 2x^3 + (4 - 2a)x^2 - ax + 6a$, where $a$ is a constant

Question

The function f is defined by $f(x) = 2x^3 + (4 - 2a)x^2 - ax + 6a$, where $a$ is a constant. Show that $x + 2$ is a factor of $f(x)$.[2] Find the other quadratic factor of $f(x)$ in terms of $a$.[2] If $f(x) = 0$ has only one real root, find the range of values of $a$.[2]

Accepted Answer

$0 < a < 6$

IP3 Class Test (May 2025) Q5

IP3 Class Test (May 2025) Q5

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