How do you factor $5x^2 - 31x + 6$ ?

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Answer 1 · 2016-07-17T08:44:45

$(5x -1)(x-6)$

Find the factors of 5 and 6 which add to 31.
The signs are both minus.

Choose factors and find the cross-product until a sum of 31 is found.

$"5 1 " rArr 1 xx 1 = 1$
$"1 6 " rArr 5 xx 6 = 30" 30+ 1=31"$

Top row is the first factor, bottom row is the second.

$(5x -1)(x-6)$

How do you factor 5x^2 - 31x + 65x^2 - 31x + 6?