Solve (x^3+x^2+x+6)divx+2)

$$( x ^ { 3 } + x ^ { 2 } + x + 6 ) \div x + 2 )$$

Evaluate

$$x^{2}+x+3+\frac{6}{x}$$

Short Solution Steps

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

$$\frac{x^{3}+x^{2}+x+6}{x}+\frac{2x}{x}$$

Since \frac{x^{3}+x^{2}+x+6}{x} and \frac{2x}{x} have the same denominator, add them by adding their numerators.

$$\frac{x^{3}+x^{2}+x+6+2x}{x}$$

Combine like terms in x^{3}+x^{2}+x+6+2x.

$$\frac{x^{3}+x^{2}+3x+6}{x}$$

Expand

$$x^{2}+x+3+\frac{6}{x}$$

Short Solution Steps

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

$$\frac{x^{3}+x^{2}+x+6}{x}+\frac{2x}{x}$$

Since \frac{x^{3}+x^{2}+x+6}{x} and \frac{2x}{x} have the same denominator, add them by adding their numerators.

$$\frac{x^{3}+x^{2}+x+6+2x}{x}$$

Combine like terms in x^{3}+x^{2}+x+6+2x.

$$\frac{x^{3}+x^{2}+3x+6}{x}$$