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Algebra

Cool goIITian

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22 Mar 2010 18:55:24 IST

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plz help...last yr ques: if p(x) is a polynomial of degree 4 nd has extremum values at 1,2 nd limx-0

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plz help...last yr ques: if p(x) is a polynomial of degree 4 nd has extremum values at 1,2 nd limx-0 (1 + p(x)/x2)=2 then p(2)=

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सुपर मान

Hot goIITian

Joined: 7 Nov 2009

Posts: 199

22 Mar 2010 20:43:21 IST

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first of all the function will be of the form ax^4 + bx^3 +cx^2 because it is given that lim x tends towards 0 of p(x)/x^2 = 1

if u include the terms of x or constant then the limit will tend to infinity...........

now i think rest is easy to solve

p'(x)=0 at x=1 and 2

and also use the condition of limit to find a,b and c.......

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