Find the coefficients of a cubic function

f(x)=ax3+bx2+cx+d\displaystyle {f{{\left({x}\right)}}}={a}{x}^{{3}}+{b}{x}^{{2}}+{c}{x}+{d}

whose graph passes through the following two points and that has horizontal tangent lines at these points:

(−2,−3),(2,7)\displaystyle {\left(-{2},-{3}\right)},{\left({2},{7}\right)}

Enter exact values (not decimal approximations) as whole numbers or fractions.

a =  
b =  
c =  
d =  

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