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Home > A2C > Chapter 4 > Lesson 4.3.2 > Problem 4-155

4-155.
  1. Multiply the expressions in parts (a) through (c) to remove the parentheses. Homework Help ✎

    1. (x − 1)(x + 1)

    2. 2x(x + 1)(x + 1)

    3. (x − 1)(x + 1)(x − 2)

    4. Find the x- and y-intercepts of y = x3 − 2x2x + 2. The factors in part (c) should be useful.

Use the generic rectangle to multiply.

x2 − 1

See part (a).

2x3 + 4x2 + 2x

(x2 − 1)(x − 2)
Now use the generic rectangle.

y-intercept where x = 0:

y = x3 − 2x 7minus; x + 2
y = 03 − 2(0)2 − 0 + 2
y = 2

x-intercept where y = 0:

0 = x3 − 2x2x + 2
0 = (x − 1)(x + 2)(x − 2) from part (c).
x = 1 or x = −1 or x = 2