State whether True or False:
Factorization of $x^{4} - 5 x^{2} - 36$ is $(x^{2} + 4) (x + 3) (x - 3)$

True

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False

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Solution

The correct option is A True
$F a c t o r i z i n g x^{4} - 5 x^{2} - 36, = x^{4} - 9 x^{2} + 4 x^{2} - 36 = x^{2} (x^{2} - 9) + 4 (x^{2} - 9) = (x^{2} - (3)^{2}) (x^{2} + 4) = (x^{2} + 4) (x + 3) (x - 3)$

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