How do you factor p^2 + 12p + 32?

1 Answer
Alan P.
Jun 4, 2015

If (p^2+12p+32)
color(white)("XXXX")has factors (p+a)(p+b)

then we need to find values a and b such that
color(white)("XXXX")a+b = 12 and
color(white)("XXXX")axxb= 32

With a bit of consideration of the possible factors of 32
we can come up with (4,8)

So
color(white)("XXXX")p^2+12p+32 = (p+4)(p+8)

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