Given a list of zeros, learn how to write the equation of a polynomial

The video tutorial reviews the process of factoring polynomials and introduces the concept of reversing these steps to form equations. It explains the zero product property and demonstrates how to multiply binomials using both the FOIL method and the box method. The tutorial emphasizes understanding the difference of squares and provides a step-by-step guide to solving polynomial equations.

What are the steps to factor the polynomial y = X^2 - 7X + 12?

Describe the process of working backwards from zeros to find the polynomial.

What is the significance of setting the factors equal to zero?

Explain the zero product property and how it applies to factoring.

How do you multiply binomials using the box method?

What is the final polynomial obtained after multiplying the factors in the example?

How can you verify the degree and number of X intercepts in a polynomial?