Question

product is 1. Hence, find the
17. Find the quadratic polynomial whose zeros are 2 and 6. Verify the
relation between the coefficients and the zeros of the polynomial.​

Answer 1

Answer:

Let α=2 and β=−6

Sum of the zeroes = (α+β)=2−6=−4

Product of the zeroes , αβ=2(−6)=−12

Required quadratic polynomial is

x

2

−(α+β)x+αβ=x

2

−(−4)x−12

=x

2

+4x−12

and

sum of the zeroes =−4=

1

−4

=

(coefficient of x

2

)

(−coefficient of x)

product of zeroes =−12×1=

1

−12

=

coefficient of x

2

constant term