Zeros and Coefficients of a Polynomial

The video tutorial explains the concept of polynomial zeros, their geometric interpretation, and the relationship between zeros and coefficients for linear, quadratic, and cubic polynomials. It provides examples and proofs to illustrate these relationships and demonstrates how to form polynomials when zeros are given. The session also covers the maximum number of zeros a polynomial can have based on its degree.

What is the general formula for the sum and product of the zeros of a quadratic polynomial?

Describe how to form a quadratic polynomial if the sum and product of its zeros are known.

What is the relationship between the zeros and coefficients of a cubic polynomial?