Solve 2*-4x^3-2x+1/3-1/25x+2

$$2 \cdot - 4 x ^ { 3 } - 2 x + \frac { 1 } { 3 } - \frac { 1 } { 2 } 5 x + 2$$

Evaluate

$$-8x^{3}-\frac{9x}{2}+\frac{7}{3}$$

Solution Steps

Multiply 2 and -4 to get -8.

$$-8x^{3}-2x+\frac{1}{3}-\frac{1}{2}\times 5x+2$$

Multiply \frac{1}{2} and 5 to get \frac{5}{2}.

$$-8x^{3}-2x+\frac{1}{3}-\frac{5}{2}x+2$$

Combine -2x and -\frac{5}{2}x to get -\frac{9}{2}x.

$$-8x^{3}-\frac{9}{2}x+\frac{1}{3}+2$$

Add \frac{1}{3} and 2 to get \frac{7}{3}.

$$-8x^{3}-\frac{9}{2}x+\frac{7}{3}$$

Factor

$$\frac{14-27x-48x^{3}}{6}$$

Solution Steps

Factor out \frac{1}{6}. Polynomial -48x^{3}-27x+14 is not factored since it does not have any rational roots.

$$\frac{-48x^{3}-27x+14}{6}$$