This is one of my hw problems: "A scientist has limited data on the temperature T during a 24-hour period. If t denotes time in hours and t = 0 corresponds to midnight, find the fourth-degree polynomial that fits the information in the following table. t (hours) 0 10 12 16 24 T (celcius) 0 0 1 0 0 Please enter your answer as a product of linear factors. Enter any fractions or fractional coefficients as fractions, not as decimals." I assumed the form was : T(t) = ax(x-10)(x-16)(x-24) I found 'a' by using the given T(12)=1 and got: a = 1/1152 Multiplying out the factors i got: T(t) = 1/1152*x^4 - 25/576*x^3 + 49/72*x^2 - 10/3*x I'm confused as to why the program says this is the wrong answer. Maybe i have some faulty arithmetic...Any ideas?