#### Answer

$3h^{3} + 7h^{2} - 5h - 14$

#### Work Step by Step

To simplify the polynomial we apply the distributive property that states:
a(b+c)=ab+ac
= $h(3h^{2}+h-7) + 2(3h^{2}+h-7)$
= ($h \times 3h^{2}$) + ($h\times h$) + ($ h\times -7$) + ($2 \times 3h^{2}$) + ($2\times h$) + ($2 \times -7$)
= $3h^{3} + h^{2} - 7h + 6h^{2} + 2h - 14$
= $3h^{3} + h^{2} + 6h^{2} + 2h - 7h - 14$
= $3h^{3} + 7h^{2} - 5h - 14$
We add like terms to get final answer