Home > CCA2 > Chapter 2 > Lesson 2.2.4 > Problem 2-144
Multiply the expressions in parts (a) through (c) to remove the parentheses.
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
. 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.
Now use a generic rectangle.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: