Solve 6x^3-5x^2+x/2-1

$$\frac{ 6 { x }^{ 3 } -5 { x }^{ 2 } +x }{ 2 } -1$$

Evaluate

$$\frac{\left(x-1\right)\left(6x^{2}+x+2\right)}{2}$$

Short Solution Steps

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

$$\frac{6x^{3}-5x^{2}+x}{2}-\frac{2}{2}$$

Since \frac{6x^{3}-5x^{2}+x}{2} and \frac{2}{2} have the same denominator, subtract them by subtracting their numerators.

$$\frac{6x^{3}-5x^{2}+x-2}{2}$$

Divide each term of 6x^{3}-5x^{2}+x-2 by 2 to get -\frac{5}{2}x^{2}+3x^{3}-1+\frac{1}{2}x.

$$-\frac{5}{2}x^{2}+3x^{3}-1+\frac{1}{2}x$$

Expand

$$3x^{3}-\frac{5x^{2}}{2}+\frac{x}{2}-1$$

Short Solution Steps

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

$$\frac{6x^{3}-5x^{2}+x}{2}-\frac{2}{2}$$

Since \frac{6x^{3}-5x^{2}+x}{2} and \frac{2}{2} have the same denominator, subtract them by subtracting their numerators.

$$\frac{6x^{3}-5x^{2}+x-2}{2}$$

Divide each term of 6x^{3}-5x^{2}+x-2 by 2 to get -\frac{5}{2}x^{2}+3x^{3}-1+\frac{1}{2}x.

$$-\frac{5}{2}x^{2}+3x^{3}-1+\frac{1}{2}x$$