Solve pi/2x^3+x-1

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

Evaluate

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

Short Solution Steps

Express \frac{\pi }{2}x^{3} as a single fraction.

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

To add or subtract expressions, expand them to make their denominators the same. Multiply x-1 times \frac{2}{2}.

$$\frac{\pi x^{3}}{2}+\frac{2\left(x-1\right)}{2}$$

Since \frac{\pi x^{3}}{2} and \frac{2\left(x-1\right)}{2} have the same denominator, add them by adding their numerators.

$$\frac{\pi x^{3}+2\left(x-1\right)}{2}$$

Do the multiplications in \pi x^{3}+2\left(x-1\right).

$$\frac{\pi x^{3}+2x-2}{2}$$

Factor

$$\frac{\pi x^{3}+2x-2}{2}$$

Solution Steps

Factor out \frac{1}{2}. Polynomial \pi x^{3}+2x-2 is not factored since it does not have any rational roots.

$$\frac{\pi x^{3}+2x-2}{2}$$