Evaluate
x^{2}\left(6x^{3}-27x^{2}+5\right)
Factor
x^{2}\left(6x^{3}-27x^{2}+5\right)
Graph
Share
Copied to clipboard
6x^{5}-27x^{4}+5xx
Divide 15x by 3 to get 5x.
6x^{5}-27x^{4}+5x^{2}
Multiply x and x to get x^{2}.
x\left(6x^{4}-27x^{3}+5x\right)
Factor out x.
x\left(6x^{3}-27x^{2}+5\right)
Consider 6x^{4}-27x^{3}+5x. Factor out x.
xx\left(6x^{3}-27x^{2}+5\right)
Rewrite the complete factored expression. Polynomial 6x^{3}-27x^{2}+5 is not factored since it does not have any rational roots.
Examples
Quadratic equation
{ x } ^ { 2 } - 4 x - 5 = 0
Trigonometry
4 \sin \theta \cos \theta = 2 \sin \theta
Linear equation
y = 3x + 4
Arithmetic
699 * 533
Matrix
\left[ \begin{array} { l l } { 2 } & { 3 } \\ { 5 } & { 4 } \end{array} \right] \left[ \begin{array} { l l l } { 2 } & { 0 } & { 3 } \\ { -1 } & { 1 } & { 5 } \end{array} \right]
Simultaneous equation
\left. \begin{cases} { 8x+2y = 46 } \\ { 7x+3y = 47 } \end{cases} \right.
Differentiation
\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
Integration
\int _ { 0 } ^ { 1 } x e ^ { - x ^ { 2 } } d x
Limits
\lim _{x \rightarrow-3} \frac{x^{2}-9}{x^{2}+2 x-3}