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

Question

Philoid · Accepted Answer

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.