Question

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)?

Answer 1

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