Factor
\left(x-7\right)\left(5x^{2}-6\right)
Evaluate
\left(x-7\right)\left(5x^{2}-6\right)
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5x^{2}\left(x-7\right)-6\left(x-7\right)
Do the grouping 5x^{3}-35x^{2}-6x+42=\left(5x^{3}-35x^{2}\right)+\left(-6x+42\right), and factor out 5x^{2} in the first and -6 in the second group.
\left(x-7\right)\left(5x^{2}-6\right)
Factor out common term x-7 by using distributive property. Polynomial 5x^{2}-6 is not factored since it does not have any rational roots.
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