Q. 84.3( 11 Votes )

If the zeros of t

Answer :

It is given in the question that the roots of the given polynomial are (a – b), a and (a + b)

Now by comparing the given polynomial with Ax3 + Bx2 + Cx + D, we get:


A = 1, B = - 3, C = 1 and D = 1


Now,


(a – b) + a + (a + b) =


3a = -


a = 1


Also, we have:


(a – b) × a × (a + b) =


a (a2 – b2) =


1 (12 – b2) = - 1


1 – b2 = - 1


b2 = 2


b =


Hence, a = 1 and b =


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