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

SOLUTION :  

Given : Quadratic polynomial f(x)  : ax² + bx + c  

When we factorized the quadratic polynomial f(x)  : ax² + bx + c into linear polynomial then total number of real and distinct Zeroes of f(x)  will be two (2).

★★ QUADRATIC POLYNOMIAL :  A polynomial of degree 2 is called quadratic polynomial.

** Any quadratic polynomial in variable x with real coefficients is of the form f(x) = ax² + bx + c , where a, b and c are real numbers and a ≠ 0.

★★ LINEAR POLYNOMIAL :  A polynomial of degree one is called linear polynomial.

HOPE THIS ANSWER WILL HELP YOU..

Answer 2

hey mate here is your answer
look at the following fig