Multiplying and dividing monomials

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Intros
Lessons
  1. How to multiply monomials?
  2. How to divide monomials?
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Examples
Lessons
  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
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Practice
Topic Notes
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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.