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2. Polynomials
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Q9 of 109 Page 2

If α and β are the zeros of the quadratic polynomial , find the value of .

Let and β are the roots of the given eqn


Sum of the roots = = = = -1


Product of the roots = = = = -2


= = [Using (a + b)2 = a2 + b2 + 2ab and (a - b)2 = a2 + b2 - 2ab]


⇒ = =


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2. Polynomials
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