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Find the zeroes of the quadratic polynomials x2 – 3 and verify the relationship between the zeroes and the coefficients.

1 Answer

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Best answer

Let f (x) = x2 – 3

Now, if we recall the identity

(a2 – b2) = (a – b)(a + b)

Using this identity, we can write

x2 – 3 = (x – √3) (x + √3)

So, the value of x2 – 3 is zero when x = √3 or x = – √3

Therefore, the zeroes of x2 – 3 are √3 and – √3.

Verification

Now,

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

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