2. Polynomial Functions

Zeros And Multiplicity — Quiz

Test your understanding of zeros and multiplicity with 5 practice questions.

Practice Questions

Question 1

What is the maximum number of distinct real zeros a polynomial of degree $n$ can have?

Question 2

If a polynomial function has a zero at $x = a$ with multiplicity $m$, what does this mean for the factor corresponding to this zero?

Question 3

Which of the following polynomial functions has a zero at $x = 3$ with an even multiplicity?

Question 4

If a polynomial function has a zero at $x = 0$ with multiplicity 2, and a zero at $x = 1$ with multiplicity 1, what is a possible equation for the polynomial?

Question 5

What is the sum of the multiplicities of the zeros for the polynomial function $P(x) = (x-2)^3(x+4)^1$?