6.Find the zeroes of the quadratic polynomial x? - x - 30 and verify t

1.	6.Find the zeroes of the quadratic polynomial x? - x - 30 and verify the relationbetween the zeroes and its co-efficients.
Answer» x^2 - x - 30 = 0x^2 - 6x + 5x - 30 = 0x(x - 6) + 5(x - 6) = 0(x + 5)(x - 6) = 0x = - 5, 6 Therfore,Zeroes of given equation are - 5 and 6 Now,Sum of zeroes = - coefficient of x/ coefficient of x^2= - (-1) = 1 Product of zeroes = constant/ coefficient of x^2= - 30/1 = - 30

6.Find the zeroes of the quadratic polynomial x? - x - 30 and verify the relationbetween the zeroes and its co-efficients.

Answer»

x^2 - x - 30 = 0x^2 - 6x + 5x - 30 = 0x(x - 6) + 5(x - 6) = 0(x + 5)(x - 6) = 0x = - 5, 6

Therfore,Zeroes of given equation are - 5 and 6

Now,Sum of zeroes = - coefficient of x/ coefficient of x^2= - (-1) = 1

Product of zeroes = constant/ coefficient of x^2= - 30/1 = - 30