### Home > CCA2 > Chapter 8 > Lesson 8.2.3 > Problem 8-105

8-105.

Make a sketch of a graph

*p*(*x*) so that*p*(*x*) = 0 would have the indicated number and type of solutions. Homework Help ✎5 real solutions

3 real and 2 complex

4 complex

4 complex and 2 real

For parts (a) through (d), what is the lowest degree each function could have?

Your graph should have five *x*-intercepts.

Draw a graph with three *x*-intercepts that when shifted vertically would have five *x*-intercepts.

Draw a graph with no *x*-intercepts. But, when it is shifted down it should have four *x*-intercepts.

The degree needs to be at least as high as the number of solutions.