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

4-155.

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

(

*x*− 1)(*x*+ 1)2

*x*(*x*+ 1)(*x*+ 1)(

*x*− 1)(*x*+ 1)(*x*− 2)Find the

*x*- and*y*-intercepts of*y*=*x*^{3}− 2*x*^{2}−*x*+ 2. The factors in part (c) should be useful.

Use the generic rectangle to multiply.

*x*^{2} − 1

See part (a).

2*x*^{3} + 4*x*^{2} + 2*x*

(*x*^{2} − 1)(*x* − 2)

Now use the generic rectangle.

*y*-intercept where *x* = 0:

*y* = *x*^{3} − 2*x* 7minus; *x* + 2*y* = 0^{3} − 2(0)^{2} − 0 + 2*y* = 2

*x*-intercept where *y* = 0:

0 = *x*^{3} − 2*x*^{2} − *x* + 2

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