Factors of $4 x^{4} - 25 x^{2} + 36$ are:

(x + 2) (x - 2) (2 x + 3) (2 x - 3)

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(x + 1) (x - 1) (x + 3) (x - 3)

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(x + 3) (x - 3) (4 x + 3) (4 x - 3)

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None of these

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Solution

The correct option is B $(x + 2) (x - 2) (2 x + 3) (2 x - 3)$
$4 x^{4} - 25 x^{2} + 36$
$= 4 x^{4} - 16 x^{2} - 9 x^{2} + 36$
$= 4 x^{2} (x^{2} - 4) - 9 (x^{2} - 4)$
$= (x^{2} - 4) (4 x^{2} - 9)$
= $(x + 2) (x - 2) (2 x + 3) (2 x - 3)$

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