Solve 8x^5-5x^4-3/2x^3+15x^2-27x=

$$8 x ^ { 5 } - 5 x ^ { 4 } - 3 / 2 x ^ { 3 } + 15 x ^ { 2 } - 27 x =$$

Factor

$$\frac{x\left(16x^{4}-10x^{3}-3x^{2}+30x-54\right)}{2}$$

Solution Steps

Factor out \frac{1}{2}.

$$\frac{16x^{5}-10x^{4}-3x^{3}+30x^{2}-54x}{2}$$

Consider 16x^{5}-10x^{4}-3x^{3}+30x^{2}-54x. Factor out x.

$$x\left(16x^{4}-10x^{3}-3x^{2}+30x-54\right)$$

Rewrite the complete factored expression. Polynomial 16x^{4}-10x^{3}-3x^{2}+30x-54 is not factored since it does not have any rational roots.

$$\frac{x\left(16x^{4}-10x^{3}-3x^{2}+30x-54\right)}{2}$$

Evaluate

$$8x^{5}-5x^{4}-\frac{3x^{3}}{2}+15x^{2}-27x$$