Question

Find the zeroes of the quadratic polynomials 2x² – 7x and verify the relationship between the zeroes and the coefficients.

Answer 1

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

x = 7/2 or x = 0

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

Verification

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