The partial graph of a 4th-degree polynomial function P(x) is shown. The leading coefficient is 1 and the x-intercepts of the graph are integers.

A fourth degree polynomial coming down from the left through the point negative three comma zero and turning at approximately the point negative two comma negative fifty five and going up through the point zero comma negative twelve and turning at the point one comma zero and going down to the turning point at approximately three comma negative twenty five and going up through the point four comma zero and continuing towards infinity

Question

The partial graph of a 4th-degree polynomial function P(x) is shown. The leading coefficient is 1 and the x-intercepts of the graph are integers.

A fourth degree polynomial coming down from the left through the point negative three comma zero and turning at approximately the point negative two comma negative fifty five and going up through the point zero comma negative twelve and turning at the point one comma zero and going down to the turning point at approximately three comma negative twenty five and going up through the point four comma zero and continuing towards infinity

anonymous · Answer

If the polynomial function is written in the form P(x) = c(x - a)^2(x-b)(x+d), where a, b, c, and d are all positive integers, then what is the value of a? 

1
3
4
12