Answer
$a_{n} = -3$
Work Step by Step
$$f(x) = a_{n}(x^4 - 3x^2 - 4)$$
$f(3) = -150 = a_{n}((3)^4 - 3(3)^2 - 4)$
$-150 = a_{n}(81 - 27 - 4)$
$-150 = a_{n}(50)$
$-3 = a_{n}$
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