# If a quadratic polynomial f(x) is factorizable into linear distinct factors,

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)?

Solution:

If a quadratic polynomial $f(x)=a x^{2}+b x+c$ is factorized into linear polynomials then the total number of real and distinct zeros of $f(x)$ will be 2