How do you write #d^2+12d+32# in factored form?
We can Split the Middle Term of this expression to factorise it.
In this technique, if we have to factorise an expression like
After trying out a few numbers we get
I use the new AC Method (Socratic Search)
#y = d^2 + 12d + 32 = (d + p)(d + q)#
Factor pairs of
#4 + 8 = 12 = b#
NOTE . This new AC Method shows a systematic way to find the 2 numbers p and q. It also avoids the lengthy factoring by grouping.