Dividing polynomials by monomials

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  1. How to divide polynomials by monomials?
  1. Divide by using a model.
    1. 6x224x3x\frac{{6{x^2} - 24x}}{{3x}}
    2. 5x27xx\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. x21.8xy6x\frac{{ - {x^2} - 1.8xy}}{{6x}}
    4. 18x29x+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.
Topic Notes
This section will teach us how to divide a polynomial (more than one term) by a monomial (one term only). We will use a model to help us on the division. We will then try to solve the questions without using the model. At the end, we will look at some of the related word problems.