Sorry if this sounds incorrect, I hope it doesn't, if it does, don't worry about it. They are the advanced questions and it probably translates badly and sometimes my math chart doesn't have the exact translations.

For which values of p are f (p) = p + q2 + q zero places?

not sure what "zero places" are

do you mean where f(p)=0 ?
clearly, p = -(q^2+q) makes f(p) = 0

Hey oobleck, thanks for the help so far (And in general).

I think I figured it out though. It means where the function's graph intersects the x-axis. (What would be the correct term for this in English?)

No problem at all! I'm here to help you with your advanced questions. To find the values of p for which the equation f(p) = p + q^2 + q has zero places, we need to determine the values of p that make the equation equal to zero.

To begin, let's set f(p) equal to zero:

p + q^2 + q = 0

Now, it appears that we have two variables in this equation, p and q. In order to find the values of p, we need additional information or constraints. Without any additional context or constraints provided, it is difficult to determine the values of p that satisfy the equation.

If you can provide more information or constraints, such as the value of q or any relationship between p and q, I would be able to assist you further in finding the values of p that make the equation have zero places.