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CBSE Class 10 Answered

this is a question on polynomials but has A.P. involved in it:
Asked by snigi | 18 Jun, 2008, 01:24: PM
answered-by-expert Expert Answer

by zeroes, we mean the roots of the polynomial where f(x) = 0

let a,b,c be the roots of the polynomial

then a+b+c = p.........(1)

ab+bc+ca = q............(2)

and abc = r................(3)

if a,b,c are in A.P. then we know that 2b = a+c

putting in (1)  => b= p/3

from (2)   b(a+c) + ca = q =>  2b2 + ac =q => ac = q- (2/9)p2

putting the values of b and ac in (3)

( q- (2/9)p2) . p/3 = r

Answered by | 14 Sep, 2008, 02:01: AM
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