Factor out the greatest common factor from the following polynomial.

$8 x^{4} - 4 x^{3} + 10 x^{2}$

$2 x^{2} (4 x^{2} - 2 x + 5)$

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$2 x^{2} (4 x^{2} - 2 + 5)$

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$2 (4 x^{2} - 2 x + 5)$

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$2 x (4 x^{2} - 2 x + 5)$

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Solution

The correct option is A
$2 x^{2} (4 x^{2} - 2 x + 5)$

Looking at the numerical , we can take 2 as a factor Also note that we can factor an x² out of every term.

Hence $8 x^{4} - 4 x^{3} + 10 x^{2} = 2 (4 x^{4} - 2 x^{3} + 5 x^{2})$

$= 2 x^{2} (4 x^{2} - 2 x + 5)$

Note that we can always check our factoring by multiplying the terms back out to make sure we get the original polynomial.

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