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If f(x) is a polynomial satiysfying `f(x) =(1)/(2) |{:(f(x),f((1)/(x)),-f(x)),(1,,f((1)/(x))):}|` and f(2) = 17, then the value of f(5) is -A. 126B. 626C. `-124`D. 626 |
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Answer» Correct Answer - 2 `f(x) =(1)/(2)[f(x) f((1)/(x)) -f((1)/(x))+f(x)]` `rArr f(x) f((1)/(2)) = f(x)+ f((1)/(2))` then `f(x) = 2x^(n)+ 1 or -x^(n) +1` `f(2) = 2^(n) +1=17 rArr 2^(n) = 16 rArr n=4` `f(x) =x^(4) + 1rArr f(5) =626` |
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