If 1 & -1 are the zeroes of the polynomial p(x)=Lx^4+Mx^3+Nx^2+Rx+P=0, prove that L+M+P=M+R=0. [JEE mains 2014, AIEEE 2006, IIT 1998]
I think it should be
If 1 & -1 are the zeroes of the polynomial
Bob
]]>Oh yes! Silly me. . Obviously, this reveals I have no presence of mind. In fact, maybe no mind at all. And it doesn't even have to be cubic
Bob
]]>A polynomial has the form:
You only have 4 constraints so you'd have to assume that a5, a6, .... are all zero.
You can then form 4 equations like this:
I got that one by putting x=2
You'll get three more by putting x=0, x=1 and x=3.
Then you need to use simultaneous equation methods to solve for all the 'a's.
If you can get those equations, but cannot solve them, then post again with your 4 equations.
Bob
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