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Let a(0)x^(n)+a(1)x^(n-1)+….+a(n-1)x+a(n...

Let `a_(0)x^(n)+a_(1)x^(n-1)+….+a_(n-1)x+a_(n)=0` be the nth degree equation with `a_(0), a_(1),….a_(n)` integers. If p/q is rational root of this equation, then p is a divisor of `a_(n)` and q is a divisor of `a_(0)`. If `a_(0)=1`, then every rational root of this equation must be an integer.
At least one integral root of the equation `x^(3)-13x^(2)+15x+189=0` exceeds another root by

A

A.P.

B

G.P.

C

A.G.P.

D

none of these

Text Solution

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The correct Answer is:
A
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