How do you factor #z^3+2z^2+z+2#?

1 Answer
Alan P.
May 5, 2015

Look for two pairs of terms which share a common factor between the pairs.
In this case
the pair #color(red)(z^3+2z)# and
the pair #color(blue)(z+2)#
share a common factor: #color(green)(z+2)#

#color(red)(z^3+2z^2) + color(blue)(z+2)#

#= (z^2)color(green)((z+2))+(1)color(green)((z+2))#

#= (z^2+1)color(green)((z+2))#

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