Solve (9s^4-7s^3)+(3s^3+8s+4s^4)

$$( 9 s ^ { 4 } - 7 s ^ { 3 } ) + ( 3 s ^ { 3 } + 8 s + 4 s ^ { 4 } )$$

Evaluate

$$s\left(13s^{3}-4s^{2}+8\right)$$

Solution Steps

Combine -7s^{3} and 3s^{3} to get -4s^{3}.

$$9s^{4}-4s^{3}+8s+4s^{4}$$

Combine 9s^{4} and 4s^{4} to get 13s^{4}.

$$13s^{4}-4s^{3}+8s$$

Factor

$$s\left(13s^{3}-4s^{2}+8\right)$$

Solution Steps

Factor out s. Polynomial 13s^{3}-4s^{2}+8 is not factored since it does not have any rational roots.

$$s\left(9s^{3}-7s^{2}+3s^{2}+8+4s^{3}\right)$$