Dividing polynomials by monomials

Lessons

• Introduction
  a)

  How to divide polynomials by monomials?
  
  

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• 1.
  Divide by using a model.
  a)

  $\frac{{6{x^2} - 24x}}{{3x}}$
  
  
  b)

  $\frac{{ - 5{x^2} - 7x}}{{ - x}}$
  
  

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• 2.
  Divide.
  a)

  $\frac{{4{x^2} + 12xy}}{{2x}}$
  
  
  b)

  $\frac{{3.5{x^2} + 2.1x}}{{7x}}$
  
  
  c)

  $\frac{{ - {x^2} - 1.8xy}}{{6x}}$
  
  
  d)

  $\frac{{ - 18{x^2} - 9x + 0.3}}{{0.3}}$
  
  

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• 3.
  The volume of the diagram below is $45{x^2} + 3x$.
  
  
  a)

  Write the polynomial expression for the width of the diagram.
  
  
  b)

  If x = 3 m, calculate the width and the volume.
  
  

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