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[Post New]12 May 2008 14:44:45 IST
    Subject: Re:find f(x)
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sboosy (3065)

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Olaaa!! Perrrfect answer. 539  [724 rates]
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\mbox{Consider} \ f(x) = ax^3+bx^2+cx+d \\ \\ f(1) = 2 \ \Rightarrow a+b+c+d = 2 \\ \\ f(2) = 5 \ \Rightarrow 8a+4b+2c+d = 5 \\ \\ f(3) = 9 \ \Rightarrow 27a+9b+3c+d=9 \\ \\ f(5)= 32 \ \Rightarrow 125a+25b+5c+d = 32 \\ \\ \mbox{Four equations, four unknowns} \\ \\ \mbox{Solving we get} \ a=\frac{1}{2},b=\frac{-5}{2},c=7,d=-3 \\ \\ \Rightarrow f(x) = \frac{1}{2}x^3 - \frac{5}{2}x^2+7x-3 \\ \\ \Rightarrow f(4) = 32-40+28-3 =17

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