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#1 2012-10-14 09:16:56

jonny
Guest

Polynomials

Let

and suppose that

and

have a common irrational root , then

which one is Right

(d) none

#2 2012-10-16 20:57:09

sameer mishra
Member
Registered: 2010-08-27
Posts: 64

Re: Polynomials

d is correct answer of this question
we know that irrational root occur in conjugate pair
we assume g(x)=(x-y)f(x)
(x-y)(x^2+ax+b)
x^3+ax^2+bx-yx^2-axy-by=x^3+px+q
x^3+(a-y)x^2+(b-ay)x-by=x^3+px+q
a=y
b-ay=p
-by=q
from here no relation will match

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