Relationship Between Zeroes and Coefficients of a Polynomial

The video tutorial explores the relationship between the zeroes and coefficients of polynomials, covering linear, quadratic, and cubic types. It explains how to find zeroes by equating polynomials to zero and factorizing them. The session delves into the sum and product of zeroes, establishing relationships for quadratic and cubic polynomials. It also demonstrates solving problems using these relationships, emphasizing the importance of choosing the simplest form for polynomials.

What is the relationship between the zeroes of a polynomial and its coefficients?

Explain how to find the zeroes of a polynomial by equating it to zero.

What is the general form of a quadratic polynomial?

How do you calculate the sum of the zeroes for a quadratic polynomial?

Describe the relationship between the product of the zeroes and the coefficients of a polynomial.

What steps would you take to find a quadratic polynomial given the sum and product of its zeroes?

If the sum of the zeroes is 8 and the product is 12, what would be the quadratic polynomial?