Solve F(x)=1/x+x+x^2

$$F ( x ) = \frac { 1 } { x } + x + x ^ { 2 }$$

Evaluate

$$x^{2}+x+\frac{1}{x}$$

Short Solution Steps

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

$$\frac{1}{x}+\frac{\left(x+x^{2}\right)x}{x}$$

Since \frac{1}{x} and \frac{\left(x+x^{2}\right)x}{x} have the same denominator, add them by adding their numerators.

$$\frac{1+\left(x+x^{2}\right)x}{x}$$

Do the multiplications in 1+\left(x+x^{2}\right)x.

$$\frac{1+x^{2}+x^{3}}{x}$$

Factor

$$\frac{x^{3}+x^{2}+1}{x}$$