### Home > A2C > Chapter 11 > Lesson 11.2.5 > Problem 11-104

11-104.

Without graphing, find where each of the following curves crosses the

*x*-axis. (Find the*exact*points!) Homework Help ✎*f*(*x*) =*x*^{2}−*x*− 12*f*(*x*) = 2*x*^{2}− 3*x*− 9*f*(*x*) = 2*x*^{2}+*x*− 7*f*(*x*) = 3*x*^{2}− 2*x*+ 7*f*(*x*) = 3*x*^{3}+ 2*x*^{2}− 8*x**f*(*x*) = 2*x*^{3}+ 2*x*^{2}+ 13*x*

Factor.*f*(*x*) = (*x* + 3)(*x* − 4)

(−3, 0) and (4, 0)

Use the quadratic formula.

(−1.5, 0) and (3, 0)

See part (b).

See part (b).

It does not intersect the *x*-axis.

*x* is a common factor.

After you factor out *x*, factor or use the quadratic formula to find the roots of the rest.

See part (e).