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Factorize 9z^3-27 z^2-100 z+300 , if it ...

Factorize `9z^3-27 z^2-100 z+300 ,` if it is given that `(3z+10)` is a factor of it.

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`9z³-27z²-100z+300`
`=(9z³+30z²)-(57z²+190z)+(90z+300)`
`=3z²(3z+10)-19z(3z+10)+30(3z+10)`
`=(3z+10)(3z²-19z+30)`
`=(3z+10)(3z-10)(z-3)`
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