Answer :
Step-by-step explanation:
[tex]\small{\underline{\tt{\red{Given}}}}[/tex]
[tex]\rightarrow[/tex] p(x) = -2
[tex]\small{\underline{\tt{\green{solution}}}}[/tex]
[tex]\rightarrow[/tex][tex]p(x) = 3x + {4x }^{2} - 5x + 8[/tex]
[tex]\rightarrow[/tex][tex]p( - 2) = 3( - 2) + 4( { - 2}^{2} ) - 5( - 2) + 8[/tex]
[tex]\rightarrow[/tex][tex] p( - 2) = - 6 + 16 + 10 + 8[/tex]
[tex]\rightarrow[/tex][tex]p( - 2) = 10 + 18[/tex]
[tex]\rightarrow[/tex][tex]p( - 2) = 28[/tex]
[tex]\small\boxed{p(-2) = 28 }[/tex]
Hope it helps