Question 364994
Why use synthetic division? 
Why not just substitute {{{-2}}} for {{{x}}} in the equation?
{{{f(-2)=4(-2)^3+2(-2)^2-6(-2)+2}}}
{{{f(-2)=4(-8)+2(4)+12+2}}}
{{{f(-2)=-32+8+14}}}
{{{highlight(f(-2)=10)}}}