Listen NCERT Audio Books to boost your productivity and retention power by 2X.
Find the quadratic polynomial whose zeros are 2 and ‒6. Verify the relation between the coefficients and the zeros of the polynomial.
Let α = 2 and β = -6
Now, Sum of zeros, α + β = 2 – 6 = -4
And, product of zeroes, αβ = 2(-6) = -12
We know that,
Required polynomial = x2–(α + β) x + αβ
= x2–(- 4)x + (-12)
= x2 + 4x – 12
Now, sum of zeroes =
Product of zeroes =
Hence, relationship verified.