How do you factor $2 x^{2} - 40 x$ $2x^2 - 40x$ ?

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How do you factor $2 x^{2} - 40 x$ $2x^2 - 40x$ ?

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Answer 1 · 2016-07-12T23:16:03

$2 x (x - 20)$ $2x(x-20)$

Explanation:

Remember that factoring means to "take out" a common factor from each term, namely one from $2 x^{2}$ $2x^2$ and one from $40 x$ $40x$ .

It happens to be the case that both, $2 x^{2}$ $2x^2$ and $40 x$ $40x$ are divisible by $2$ $2$ , and both share an $x$ $x$ , which means that we can take out a $2$ $2$ as well as an $x$ $x$ , giving us

$2 x^{2} - 40 x \to 2 x (x - 20)$ $2x^2 - 40x -> 2x(x-20)$

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How do you factor $2 x^{2} - 40 x$ $2x^2 - 40x$ ?

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