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Home > CCA2 > Chapter 2 > Lesson 2.2.4 > Problem 2-144

2-144.

Multiply the expressions in parts (a) through (c) to remove the parentheses.

  1. Use a generic rectangle to multiply.

    In a rectangle, . Find the area of each small rectangle inside the generic rectangle. 2 by 2 square, left edge labeled, top, x, bottom, minus 1. Bottom edge labeled, left, x, right, + 1.

    Added labels to interior: top left, x squared, top right, 1, x, bottom left, 1, x, bottom right, negative 1.

    The total area of the generic rectangle, or

  2. First, multiply  and .Then use a generic rectangle to multiply that result by .

    2 by 2 square, left edge labeled, top, 2, x squared, bottom, + 2, x, Bottom edge labeled, left, x, right, + 1.

    Added labels to interior: top left, 2, x to the third, top right, 2, x squared, bottom left, 2, x squared, bottom right, 2, x.

     


  3. Now use a generic rectangle.

  4. Find the - and -intercepts of . The factors in part (c) should be useful.

    The -intercepts are where .

    The -intercept is where :

    from part (c).

    Using the Zero Product Property: