Question

what is the relationship between zeroes and coefficients in polynomials

Answer 1

"Relationship between zeros and coefficients of a quadratic polynomial" is the stuff which is much required to the students who study high school math .

To understand "relationship between zeros and coefficients of a quadratic polynomial", let us consider the quadratic polynomial.

P(x) = ax² + bx + c

(Here a, b and c are real and rational numbers)

Let "α" and "β" be the two zeros of the above quadratic polynomial

The basic relationships between the zeros and the coefficients of P(x) = ax² + bx + c are