How do you factor $6s^2 - s - 5$ ?

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Answer 1 · 2017-06-08T01:08:43

This expression can be factored as:

$(6s + 5)(s - 1)$

Answer 2 · 2017-06-08T01:10:16

$(6s + 5)(s - 1)$

Given: $6s^2 - s - 5$

To factor you need to find two numbers $x, y$ that multiply to $-5$ :

$-5, 1 " or " -1, 5$

Possible solutions:
$(6s + x)(s - y) " or " (6s - x)(s + y)$

$(2s + x)(3s - y) " or " (2s -x)(3s + y)$

Let $x = -5, y = 1:$
$(6s -5)(s -1) = 6s^2 -6s -5s + 5 = 6s^2 -11s + 5 " "$ NO

$(6s +5)(s-1) = 6s^2 -6s +5s -5 = 6s^2 -s -5" "$ YES

How do you factor 6s^2 - s - 56s^2 - s - 5?