Math, asked by shikhajai, 1 year ago

factorize 9Z3-27z2-100z+300,if (3z+10) is afactor of it

Answers

Answered by nitin26chaurasi
4
  =   (9z^3-27z^2-100z+300)/(3z+10)
  =    the quotient is 3z^2-19z+30
  =    the using middle term splitting 3z^2-19z+30
  =    3z^2-19z+30
  =    3z^2-(9+10)z+30
  =    3z^2-9z-10z+30
  =    (3z^2-9z)-(10z-30)
  =    3z(z-3)-10(z-3)
  =    (3z-10)(z-3)
  =  the factors of 9z^3-27z^2-100z+300 is (3z-10) and (z-3).
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