^{2} (x-250)" alt="y=ax(x-180)^{2} (x-250)" align="absmiddle" class="latex-formula">. How would I find the A term when I do not have any points or other information given?
If no information is given that would help you define 'a', you may assume it is 1.
__
Information about the y-intercept will constitute a given point, and let you compute a value for 'a'. The direction of opening, and/or the end behavior will tell you the sign of 'a', but (alone) is non-specific as to its value. A description of the polynomial as "monic" tells you the value of 'a' is 1.