If a quadratic polynomial f (x) is factorizable into linear distinct factors, then what is the total number of real and distinct zeros of f(x)?

Given,

Quadratic polynomial f(x) is factorizable into linear distinct factors;

So,

Let f(x) = (x – a)(x – b), where a ≠ b

If a, b are the element of R,

Then f(x) must be having two real and distinct zeroes.

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