Q. 5

If α and β be the zeroes of the polynomial ax2 + bx + c, find the values of




Answer :

Let the quadratic poynomial be ax2 + bx + c , and its zeroes be α and β.

We have

α + β = and α β =


We have to find the value of

Now, if we recall the identity

(a + b)2 = a2 + b2 + 2ab

Using the identity, we get

{from eqn (1) & (2)}


Let’s take the LCM first then we get,



Now, recall the identity

(a + b)3 = a3 + b3 + 3a2 b + 3ab2

Using the identity, we get

(α + β)3 = α3 + β3 + 3α2 β + 3αβ2

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