Factor
\left(x-3\right)\left(6x^{2}-5\right)
Evaluate
\left(x-3\right)\left(6x^{2}-5\right)
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6x^{2}\left(x-3\right)-5\left(x-3\right)
Do the grouping 6x^{3}-18x^{2}-5x+15=\left(6x^{3}-18x^{2}\right)+\left(-5x+15\right), and factor out 6x^{2} in the first and -5 in the second group.
\left(x-3\right)\left(6x^{2}-5\right)
Factor out common term x-3 by using distributive property. Polynomial 6x^{2}-5 is not factored since it does not have any rational roots.
Examples
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Matrix
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\frac { d } { d x } \frac { ( 3 x ^ { 2 } - 2 ) } { ( x - 5 ) }
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