HP: Zeros & Multiplicity

What is a zero of a polynomial function?

How many zeros does the polynomial function $$f(x) = 3x^4 + 4x^2 + 8$$ have?

What are the roots of the function $$y = (x + 2)(x - 7)^3$$ ?

Which of the following is not a zero of $$f(x) = -2x(3x + 1)^2(x + 7)^7$$ ?

What are the zeros of the function? $$f(x) = (x + 3)(x + 1)(x - 2)(x - 5)$$

How does a factor with multiplicity of 2 affect the graph of a polynomial function?

What is multiplicity in relation to polynomial zeros?

If a polynomial has a zero with odd multiplicity, how does it affect the graph?

If a polynomial has a zero with even multiplicity, how does it affect the graph?

What is the relationship between the degree of a polynomial and the number of zeros it can have?