Factor
\frac{\sqrt{x}\left(-6\sqrt{5}x^{2}+2\sqrt{15}x+\sqrt{5}\right)}{2}
Evaluate
-3\sqrt{5}x^{\frac{5}{2}}+\sqrt{15}x^{\frac{3}{2}}+\frac{\sqrt{5x}}{2}
Graph
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\frac{\sqrt{5}\sqrt{x}+2\sqrt{15}x^{\frac{3}{2}}-6\sqrt{5}x^{\frac{5}{2}}}{2}
Factor out \frac{1}{2}.
\sqrt{x}\left(\sqrt{5}+2\sqrt{15}x-6\sqrt{5}x^{2}\right)
Consider \sqrt{5}\sqrt{x}+2\sqrt{15}x^{\frac{3}{2}}-2\sqrt{45}x^{\frac{5}{2}}. Factor out \sqrt{x}.
\frac{\sqrt{x}\left(\sqrt{5}+2\sqrt{15}x-6\sqrt{5}x^{2}\right)}{2}
Rewrite the complete factored expression. Polynomial \sqrt{5}+2\sqrt{15}x-6\sqrt{5}x^{2} is not factored since it does not have any rational roots.
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