Solve 20x+x^3/3+29/3

$$20 x + \frac { x ^ { 3 } } { 3 } + \frac { 29 } { 3 }$$

Evaluate

$$\frac{x^{3}+60x+29}{3}$$

Short Solution Steps

Since \frac{x^{3}}{3} and \frac{29}{3} have the same denominator, add them by adding their numerators.

$$20x+\frac{x^{3}+29}{3}$$

To add or subtract expressions, expand them to make their denominators the same. Multiply 20x times \frac{3}{3}.

$$\frac{3\times 20x}{3}+\frac{x^{3}+29}{3}$$

Since \frac{3\times 20x}{3} and \frac{x^{3}+29}{3} have the same denominator, add them by adding their numerators.

$$\frac{3\times 20x+x^{3}+29}{3}$$

Do the multiplications in 3\times 20x+x^{3}+29.

$$\frac{60x+x^{3}+29}{3}$$

Factor

$$\frac{x^{3}+60x+29}{3}$$

Solution Steps

Factor out \frac{1}{3}. Polynomial 60x+x^{3}+29 is not factored since it does not have any rational roots.

$$\frac{60x+x^{3}+29}{3}$$