Question

find the zeroes of the following quadratic polynomials and verify the relation between the zeroes and their coefficients x^2-3
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Answer 1

Answer:

Let f (x) = x2 – 3

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

Answer 2

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.