Multiplying and dividing monomials

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  1. How to multiply monomials?
  2. How to divide monomials?
  1. Model and calculate each multiplication.
    1. (6x)(2x)\left( {6x} \right)\left( {2x} \right)
    2. (4y)(3y)\left( { - 4y} \right)\left( {3y} \right)
    3. (x)(5x)\left( x \right)\left( { - 5x} \right)
    4. (2x)(7x)\left( { - 2x} \right)\left( {7x} \right)
  2. Multiply.
    1. (x)(4x)\left( x \right)\left( { - 4x} \right)
    2. (5x)(3x)\left( {5x} \right)\left( {3x} \right)
    3. (2x)(6x)\left( { - 2x} \right)\left( { - 6x} \right)
    4. (3.1x)(4x)\left( { - 3.1x} \right)\left( { - 4x} \right)
    5. (34x)(16x)\left( { - \frac{3}{4}x} \right)\left( {16x} \right)
    6. (8x)(2.3y)\left( { - 8x} \right)\left( {2.3y} \right)
  3. Divide.
    1. 144x6\frac{{144x}}{6}
    2. 84xy4xy\frac{{84xy}}{{4xy}}
    3. 9x2x\frac{{9{x^2}}}{x}
    4. 18xy3x\frac{{18xy}}{{3x}}
    5. 9.6p28p\frac{9.6{p^2}}{ - 8p}
    6. 25x5x\frac{{ - 25x}}{{ - 5x}}
  4. Find the missing dimension.

    1. Dividing polynomials to find unknown

    2. find the missing length of a triangle by multiplying and dividing polynomials
Topic Notes
In this section, we will practice multiplying and dividing polynomials. Furthermore, we will use polynomial multiplication and division to solve unknowns such as, side length, and surface area, of polygons.