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

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

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Answer 1 · 2015-05-30T12:55:27

$5p^2 - p - 6$

We can Split the Middle Term of this expression to factorise it
In this technique, if we have to factorise an expression like $ap^2 + bp + c$ , we need to think of 2 numbers such that:

$N_1*N_2 = a*c = 5*(-6) = -30$
and
$N_1 +N_2 = b = -1$

After trying out a few numbers we get $N_1 = -6$ and $N_2 =5$
$-6*(5) = -30$ , and $5+(-6)= -1$

$5p^2 - p - 6 = 5p^2 +5p -6p- 6$

$= 5p(p+1)-6(p+1)$

$=color(blue)((5p - 6)(p+1)$

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

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