Factor
\left(5x-2\right)\left(x^{2}-7\right)
Evaluate
\left(5x-2\right)\left(x^{2}-7\right)
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x^{2}\left(5x-2\right)-7\left(5x-2\right)
Do the grouping 5x^{3}-2x^{2}-35x+14=\left(5x^{3}-2x^{2}\right)+\left(-35x+14\right), and factor out x^{2} in the first and -7 in the second group.
\left(5x-2\right)\left(x^{2}-7\right)
Factor out common term 5x-2 by using distributive property. Polynomial x^{2}-7 is not factored since it does not have any rational roots.
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