How do you factor $256x^2 - 49$ ?

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Answer 1 · 2015-05-21T16:36:51

You can find its roots and then turn them into factors:

$256x^2-49$
$x^2=49/256$
$x=sqrt(49/256)$
$x=+-(7/16)$

Transforming each root $x=+-7/16$ into factors...

$16x-7=0$ and $16x+7=0$

So, $256x^2-49=color(green)((16x-7)(16x+7))$

How do you factor 256x^2 - 49256x^2 - 49?