RD Sharma - Mathematics

Book: RD Sharma - Mathematics

Chapter: 2. Polynomials

Subject: Maths - Class 10th

Q. No. 19 of Exercise 2.1

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19

If α and β are the zeros of the quadratic polynomial , find a polynomial whose roots are (i) (ii) .

(i)


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


, where k is a constant


Sum of the roots = = = =


Product of the roots = = =


Sum of the zeros of new eqn = =


Product of the zeros of new eqn = =



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


, where k is a constant


Sum of the roots = = = =


Product of the roots = = =


Sum of the zeros of new eqn = = = = =


Product of the zeros of new eqn = = = = =


Therefore eqn is:


= = = = 0


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