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2. Polynomials
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Q15 of 109 Page 2

If α and β are the zeros of the quadratic polynomial such that and, find a quadratic polynomial having α and β as its zeros.

A quadratic equation when sum and product of its zeros is given by:


, where k is a constant




Solving above eqn we get and



)


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13

If α and β are the zeros of the quadratic polynomial , prove that .

14

If α and β are the zeros of the quadratic polynomial , show that .

16

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

17

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

Questions · 109
2. Polynomials
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