#### Answer

$(3p+2)(5p^{2}+p-4)=15p^{3}+13p^{2}-10p-8$

#### Work Step by Step

$(3p+2)(5p^{2}+p-4)$
Evaluate the product indicated by multiplying the first term and second term of the first factor by every element in the second factor separately:
$(3p+2)(5p^{2}+p-4)=...$
$...=15p^{3}+3p^{2}-12p+10p^{2}+2p-8=...$
Simplify:
$...=15p^{3}+13p^{2}-10p-8$