Question 195928
{{{P(x)=4x^4-2x^3+17}}} Start with the given equation.



{{{P(-1/2)=4(-1/2)^4-2(-1/2)^3+17}}} Plug in {{{x=-1/2}}}.



{{{P(-1/2)=4(1/16)-2(-1/2)^3+17}}} Raise  {{{-1/2}}} to the 4th power to get {{{1/16}}}.



{{{P(-1/2)=4(1/16)-2(-1/8)+17}}} Cube {{{-1/2}}} to get {{{-1/8}}}.



{{{P(-1/2)=1/4-2(-1/8)+17}}} Multiply {{{4}}} and {{{1/16}}} to get {{{1/4}}}.



{{{P(-1/2)=1/4+1/4+17}}} Multiply {{{-2}}} and {{{-1/8}}} to get {{{1/4}}}.



{{{P(-1/2)=35/2}}} Combine like terms.



So the answer is {{{P(-1/2)=35/2}}}