Multiplying polynomials by monomials

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Examples
Lessons
  1. Multiply each expression by using an area model.
    1. (3x)(7x+4)\left( {3x} \right)\left( {7x + 4} \right)
    2. (2x+8)(1.6x)\left( {2x + 8} \right)\left( {1.6x} \right)
  2. Multiply.
    1. (4.6)(3x8)\left( {4.6} \right)\left( {3x - 8} \right)
    2. (5x)(2x1.2)\left( {5x} \right)\left( {2x - 1.2} \right)
    3. (4x1)(6x)\left( {4x - 1} \right)\left( {6x} \right)
    4. (139x)(2.3x)\left( {13 - 9x} \right)\left( {2.3x} \right)
    5. (3x)(2x+5y+7)\left( {3x} \right)\left( {2x + 5y + 7} \right)
    6. (14x2)(x)\left( {\frac{1}{4}x - 2} \right)\left( { - x} \right)
  3. The width of a rectangular grass field is 1.5 m shorter than 0.7 times the length.
    1. Determine the expression for the area of the field.
    2. If the width is 6.9 m, what is the area of the field?