Solve x^6+x^5+x^4+3/x

$$x ^ { 6 } + x ^ { 5 } + x ^ { 4 } + \frac { 3 } { x }$$

Evaluate

$$\frac{x^{7}+x^{6}+x^{5}+3}{x}$$

Short Solution Steps

To add or subtract expressions, expand them to make their denominators the same. Multiply x^{6}+x^{5}+x^{4} times \frac{x}{x}.

$$\frac{\left(x^{6}+x^{5}+x^{4}\right)x}{x}+\frac{3}{x}$$

Since \frac{\left(x^{6}+x^{5}+x^{4}\right)x}{x} and \frac{3}{x} have the same denominator, add them by adding their numerators.

$$\frac{\left(x^{6}+x^{5}+x^{4}\right)x+3}{x}$$

Do the multiplications in \left(x^{6}+x^{5}+x^{4}\right)x+3.

$$\frac{x^{7}+x^{6}+x^{5}+3}{x}$$

Factor

$$\frac{x^{7}+x^{6}+x^{5}+3}{x}$$