let $\displaystyle P(x)= x^4+ax^3+bx^2+cx+d$

The graph of y=P(x) is symmetric with respect to the Y Axis, the relative maximum at (0,1) and has an absolute minimum at (q,-3).

(A). Determine the values of a,b,c and d and using these values write an expression for P(x)

(B). find all possible values of q