Q2 of 90 Page 2

Find the zeroes of the following quadratic polynomials and verify the relationship between the zeroes and the coefficients:

2x2 – 7x

Let f(x) = 2 x2 – 7x


In this the constant term is zero.


f(x) = 2 x2 – 7x


= x(2x – 7)


On putting f(x) = 0 , we get


x(2x – 7) = 0


⇒ 2x – 7 = 0 or x = 0


or x = 0


Thus, the zeroes of the given polynomial 2x2 – 7x are 0 and


Verification


Sum of zeroes or



Product of zeroes or



So, the relationship between the zeroes and the coefficients is verified.


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