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1-91.

Multiply the expressions.

  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

  1. 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.

     


  2. Now use a generic rectangle.

  3. 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: