How to write polynomial with a LC of two

The video tutorial explains how to find a polynomial when given its zeros. It starts by setting the zeros equal to X and finding the factors. The factors are then multiplied to form a polynomial. The tutorial also covers adjusting the leading coefficient by using scalar multiplication, ensuring the polynomial is correctly formed without changing its zeros.

Describe the process of expanding a binomial.

How does multiplying a polynomial by a scalar affect its zeros?