Hi

My class is getting introduce to polynomial, and to start off we have an assessment on describing what a polynomial is and how it work.

I'm having a little trouble finding the explaination on google.

Can you guys assist?

Questions are

What patterns arise for polynomials of the form y = axn(called monomials)?

What happens when the leading coefficient of a polynomial is changed?

What happens when the constant term is changed?

Is there are connection between the number of roots and the order of the polynomial?

In there a connection between the number of turning points and the order of the polynomial?

What if the polynomial equations are written in factorised form? What information do the factors give?Thanks in advance.