12 grade studentgeorge Let P(x) = x^{4} + ax^{3} + bx^{2} + cx + d. The graph of y = P(x) is symmetric with respect to the yaxis, has a relative max. at (0,1) and has an absolute min. at (q, 3)
a) determine the values for a, b c, and d using these values, write an equation for P(x) george Hi George,Since P(x) is symmetric in the yaxis, P(x) = P(x) for any number x. Thus The graph of y = P(x) passes through (0,1) and hence P(0) = 1. This will tell you the value of d. Finally (q,3) is on the curve so P(q) = 3 and using what you know about absolute minima should give you a second equation that will allow you to solve for q. I hope this helps,Harley
