Question 200307
{{{4z-14+2z^3-7z^2}}} Start with the given expression.



{{{2z^3-7z^2+4z-14}}} Rearrange the terms in descending order.



{{{(2z^3-7z^2)+(4z-14)}}} Group like terms



{{{z^2(2z-7)+2(2z-7)}}} Factor out the GCF {{{z^2}}} out of the first group. Factor out the GCF {{{2}}} out of the second group



{{{(z^2+2)(2z-7)}}} Since we have the common term {{{2z-7}}}, we can combine like terms



So {{{4z-14+2z^3-7z^2}}} factors to {{{(z^2+2)(2z-7)}}}