### Home > INT3 > Chapter 8 > Lesson 8.2.2 > Problem8-77

8-77.

Sketch a graph of $y = p\left(x\right)$ so that $p\left(x\right) = 0$ has the indicated number and type of solutions. Homework Help ✎

1. $5$ real

Your graph should have five $x$-intercepts.

1. $3$ real and $2$ complex

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

1. $4$ complex

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

1. $4$ complex and $2$ real

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

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