Question

Find the quadratic polynomial whose zelos are
2 and - 6. Verify the relation between the Coefficients
and the zeros of the polynomial.​

Answer 1

Answer:

Let αandβ are the roots such that α=2 and β=-6. so, the quadratic polynomial will be x2+4x-12. Now, we will verify the relation between zeroes and coefficients of this polynomial. Product of zeroes =-12= Constant term/Coefficient of x2.