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4-18.

Use the process you developed in problem 4-13 to factor the following quadratic expressions.

  1. Fill in the rest of the diagram. Remember that the product of the diagonals must be equal.

    Interior boxes of Generic rectangle labeled as follows: top left, negative 6,x, top right, negative 12, bottom left, X squared, bottom right, 2,x. Diamond problem: Left, negative 6,x, Right, 2,x, Top, negative 12 x squared, Bottom, negative 4 x.

    Labels added to generic rectangle: Left side, top, negative 6, left side, bottom, x, Bottom side, left, x, bottom side, right, 2.

  2. Interior boxes of Generic rectangle labeled as follows: top left, blank, top right, 1, bottom left, 4, X squared, bottom right, blank. Diamond problem: Left, blank, Right blank, Top 4, x squared, Bottom 4 x.

    Labels added: Generic rectangle, interior top left, 2,x, interior bottom right, 2,x. Diamond problem: left, 2,x, right, 2,x.

    Labels added to rectangle, left side top, 1, left side bottom, 2,x, bottom side left, 2,x, bottom side right, 1.

  3. Interior boxes of Generic rectangle labeled as follows: top left, blank, top right, negative 5, bottom left, 2, X squared, bottom right, blank. Diamond problem: Left, blank, Right, blank, Top, negative 10, x squared, Bottom, negative 9 x.