What can you say about the graphs of polynomial functions with an even degree compared to the graphs of polynomial functions with an odd degree? Use graphs from the Polynomial Functions Investigation (and maybe some others) to justify your response.

For the following exercises, use the given information about the polynomial graph to write the equation. Degree 3. Zeros at $x=-5$, $x=-2$, and $x=1$. y-intercept at (0, 6)

Consider the following problem: A farmer with 750 ft of fencing wants to enclose a rectangular area and then divide it into four pens with fencing parallel to one side of the rectangle. What is the largest possible total area of the four pens? Draw several diagrams illustrating the situation, some with shallow, wide pens and some with deep, n\Rightarrow pens. Find the total areas of these configurations. Does it appear that there is a maximum area? If so estimate it

Make rough sketches of the graphs of each of the following polynomial functions. Be sure to label the x- and y- intercepts. ${\displaystyle a)y=x(2x+5)(2x-7)}$ ${\displaystyle b)y={(15-2x)}^2(x+3)}$

Write an equation for the polynomial graph:

y(x)=?

${\displaystyle (\frac{2}{7},-1)\text{and}9+\frac{1}{3i}}$ are zeros.
Find a polynomial function with real coefficients.

Graph the polynomial function.
${\displaystyle f\left(x\right)=-x^4}$

Find a nonzero polymonial function. The given zeros are:
a) 0, 1, 9
b) -3, -1, 0, 1, 3