Solve -(ss^3+7s^2+9s+6)/5s^3+8s^2+6s+7=

$$\frac { - ( s s ^ { 3 } + 7 s ^ { 2 } + 9 s + 6 ) } { 5 s ^ { 3 } + 8 s ^ { 2 } + 6 s + 7 } =$$

Evaluate

$$-\frac{s^{4}+7s^{2}+9s+6}{5s^{3}+8s^{2}+6s+7}$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 1 and 3 to get 4.

$$\frac{-\left(s^{4}+7s^{2}+9s+6\right)}{5s^{3}+8s^{2}+6s+7}$$

To find the opposite of s^{4}+7s^{2}+9s+6, find the opposite of each term.

$$\frac{-s^{4}-7s^{2}-9s-6}{5s^{3}+8s^{2}+6s+7}$$

Expand

$$-\frac{s^{4}+7s^{2}+9s+6}{5s^{3}+8s^{2}+6s+7}$$

Solution Steps

To multiply powers of the same base, add their exponents. Add 1 and 3 to get 4.

$$\frac{-\left(s^{4}+7s^{2}+9s+6\right)}{5s^{3}+8s^{2}+6s+7}$$

To find the opposite of s^{4}+7s^{2}+9s+6, find the opposite of each term.

$$\frac{-s^{4}-7s^{2}-9s-6}{5s^{3}+8s^{2}+6s+7}$$