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Dividing polynomials by monomials

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Intros
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Lessons
  1. How to divide polynomials by monomials?
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Examples
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Lessons
  1. Divide by using a model.
    1. 6x2−24x3x\frac{{6{x^2} - 24x}}{{3x}}
    2. −5x2−7x−x\frac{{ - 5{x^2} - 7x}}{{ - x}}
  2. Divide.
    1. 4x2+12xy2x\frac{{4{x^2} + 12xy}}{{2x}}
    2. 3.5x2+2.1x7x\frac{{3.5{x^2} + 2.1x}}{{7x}}
    3. −x2−1.8xy6x\frac{{ - {x^2} - 1.8xy}}{{6x}}
    4. −18x2−9x+0.30.3\frac{{ - 18{x^2} - 9x + 0.3}}{{0.3}}
  3. The volume of the diagram below is 45x2+3x45{x^2} + 3x.
    Dividing polynomials by monomials
    1. Write the polynomial expression for the width of the diagram.
    2. If x = 3 m, calculate the width and the volume.