Solve x+2divx^3+5x^2+11x+10

$$x+2 \div { x }^{ 3 } +5 { x }^{ 2 } +11x+10$$

Evaluate

$$5x^{2}+12x+10+\frac{2}{x^{3}}$$

Short Solution Steps

Combine x and 11x to get 12x.

$$12x+\frac{2}{x^{3}}+5x^{2}+10$$

To add or subtract expressions, expand them to make their denominators the same. Multiply 12x+5x^{2}+10 times \frac{x^{3}}{x^{3}}.

$$\frac{\left(12x+5x^{2}+10\right)x^{3}}{x^{3}}+\frac{2}{x^{3}}$$

Since \frac{\left(12x+5x^{2}+10\right)x^{3}}{x^{3}} and \frac{2}{x^{3}} have the same denominator, add them by adding their numerators.

$$\frac{\left(12x+5x^{2}+10\right)x^{3}+2}{x^{3}}$$

Do the multiplications in \left(12x+5x^{2}+10\right)x^{3}+2.

$$\frac{12x^{4}+5x^{5}+10x^{3}+2}{x^{3}}$$

Factor

$$\frac{5x^{5}+12x^{4}+10x^{3}+2}{x^{3}}$$