Overview Zeros of a functions - Online Math Tutor - Free Math Videos

The video tutorial provides an overview of polynomials, focusing on the leading coefficient test, zeros, and turning points. It explains how to write polynomials in descending order and discusses the significance of the leading coefficient and degree in determining the end behavior of a graph. The tutorial also covers the maximum number of turning points and zeros a polynomial can have, and how zeros relate to solutions, factors, and X intercepts.

What is the significance of writing a polynomial in descending order of exponents?

• It ensures the polynomial is in its simplest form.

• It allows for easier graphing of the polynomial.

• It makes the polynomial easier to solve.

• It helps in identifying the leading coefficient.

How many turning points can a polynomial of degree 4 have at most?

• 5

• 4

• 2

• 3

What is the maximum number of zeros a cubic polynomial can have?

• 4

• 3

• 2

• 1

If a polynomial has a degree of 5, what is the maximum number of zeros it can have?

• 3

• 4

• 5

• 6

What does it mean if x = a is a zero of a polynomial function?

• The polynomial is undefined at x = a.

• The polynomial has a maximum at x = a.

• The polynomial has no solution.

• The polynomial equals zero at x = a.

How is a zero of a polynomial related to its factors?

• A zero is unrelated to the factors.

• A zero is a factor of the polynomial.

• A zero is the sum of the factors.

• A zero is the product of the factors.

What is the x-intercept of a polynomial if x = a is a zero?

• (a, a)

• (0, a)

• (a, 0)

• (0, 0)