You can put this solution on YOUR website! Rewrite the middle term as the sum of two terms and then factor completely
4z³ -18z² - 10z
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4z^3-8z^2-10z^2-10z
=4z^2(z-2)-10z(z-2)
=(z-2)(4z^2-10z)
=(z-2)(2z)(2z-5)
=2z(z-2)(2z-5)
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Cheers,
Stan H.