Question

Find a formula for the fourth degree polynomial p(x) whose graph is symmetric about the y-axis, and which has a y-intercept of 3, and global maxima at (5,1878) and (−5,1878)

Answer 1

Mmmmm ok let's see what we can get from this information.....

Answer 2

It's an even polynomial function, so it's a parabola shape (maybe with some turns in the middle),
It has `global maxima`, which means it's opening downward towards negative infinity.
It has symmetry about the y-axis, so our y-intercept is going to be a critical point.

Answer 3

So it might look something like this, yah?