Write the equation of the polynomial given the zeros

The video tutorial explains how to find the zeros of a polynomial function, which are the same as the X intercepts. It demonstrates the process using an example, showing how to factor the polynomial and apply the zero product property. The tutorial also covers setting equations to zero and rearranging binomials for multiplication, highlighting shortcuts like the difference of squares. Finally, it combines terms to form the final polynomial function, addressing common mistakes and corrections along the way.

What is the significance of rearranging the factors when solving for zeros?

How does the difference of squares apply to the multiplication of binomials?

What is the final polynomial function derived from the zeros mentioned?