RS Aggarwal - Mathematics

Book: RS Aggarwal - Mathematics

Chapter: 2. Polynomials

Subject: Maths - Class 10th

Q. No. 14 of Exercise 2A

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Find the quadratic polynomial whose zeros are . Verify the relation between the coefficients and the zeros of the polynomial.

Now, Sum of zeros,

And, product of zeroes,

We know that,

Required polynomial = x2–(α + β)x + αβ

=12x2 – 5x – 2

Now, sum of zeroes

Product of zeroes

Hence, relationship verified.

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