Originally Posted by

**choi_siwon** I'm having trouble with doing this problem, and I'm not really sure how to even first go about it. All I was able to figure out is that $\displaystyle d=1$. If someone could explain this problem to me step by step that would be really appreciated, thank you!

Let $\displaystyle P(x)=x^4+ax^3+bx^2+cx+d$. The graph $\displaystyle y=P(x)$ is symmetric with respect to the Y-axis, has relative maximum at $\displaystyle (0,1)$, and has an absolute minimum at $\displaystyle (q, -3)$

**A)** Determine the values $\displaystyle a, b, c, d$ and using these values write an expression for $\displaystyle P(x)$

**B) **Find all possible values of $\displaystyle q$