Solve 8p^2+7p^3+9p^2+8p-16p^2

$$8 p ^ { 2 } + 7 p ^ { 3 } + 9 p ^ { 2 } + 8 p - 16 p ^ { 2 }$$

Evaluate

$$p\left(7p^{2}+p+8\right)$$

Solution Steps

Combine 8p^{2} and 9p^{2} to get 17p^{2}.

$$17p^{2}+7p^{3}+8p-16p^{2}$$

Combine 17p^{2} and -16p^{2} to get p^{2}.

$$p^{2}+7p^{3}+8p$$

Factor

$$p\left(7p^{2}+p+8\right)$$

Solution Steps

Factor out p. Polynomial 7p^{2}+p+8 is not factored since it does not have any rational roots.

$$p\left(8p+7p^{2}+9p+8-16p\right)$$