Question

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

Answer 1

Step-by-step explanation:

Here, one zero = 2 ; 2nd zero = - 6

So, polynomial = (x-2)(x-(-6))

=(x-2)(x+6)

= x²+4x-12

Hence, Quadratic polynomial whose zeros are 2 and -6 is x²-4x-12.

Verify,,

Sum of zero = -b/c

2+(-6)= -(4)/1

-4 = - 4

Or,

product of zero = c/a

2×(-6)= -12/1

- 12 = - 12

So, hence proof.