### Home > A2C > Chapter 8 > Lesson 8.2.2 > Problem 8-130

8-130.

Find the

*x*- and*y*-intercepts of the graphs of each of the following equations. Homework Help ✎*y*= 2*x*^{3}− 10*x*^{2}−*x**y*+ 2 = log_{3}(*x*− 1)

Set *x* to 0 and solve for *y* to find the *y*-intercept(s).

Set *y* to 0 and solve for *x* to find the *x*-intercept(s).

Let *x* = 0 to find the *y*-intercept.

*y* = 2(0)³ − 10(0)² − (0)

0 = 2*x*³ − 10*x*² − *x*

0 = *x*(2*x*² − 10*x*² − 1)

Let *y* = 0 to find the *x*-intercept. Then factor and use the Zero Product Property and the Quadratic Formula.

*y*-intercept: (0,0)

See part (a).

*x*-intercept: (10, 0)

no *y*-intercept