This is one of my hw problems:(adsbygoogle = window.adsbygoogle || []).push({});

"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?

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# Homework Help: Fourth-Degree Polynomial HW problem

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