Determine the end behavior of a factored polynomial

The video tutorial explains how to determine the behavior of polynomials by focusing on the degree, which is the largest power of the variable. It emphasizes that for graph behavior, the leading coefficient is crucial. The tutorial also covers how to describe graph behavior using notation and limits, explaining that as x approaches negative or positive infinity, the graph's y-values fall or rise accordingly.

What is the primary factor to consider when determining the behavior of a polynomial?

• The coefficients of all terms

• The number of terms

• The degree of the polynomial

• The constant term

How does the leading coefficient affect the graph of a polynomial?

• It determines the y-intercept

• It changes the number of roots

• It affects the end behavior of the graph

• It alters the degree of the polynomial

What does 'falls left, rises right' indicate about a polynomial's graph?

• The graph is a straight line

• The graph decreases to the left and increases to the right

• The graph has a maximum point

• The graph is symmetric

As x approaches negative infinity, what happens to the graph of a polynomial with a negative leading coefficient?

• The graph oscillates

• The graph rises

• The graph remains constant

• The graph falls

What does it mean for f(x) as x approaches positive infinity?

• f(x) approaches zero

• f(x) approaches negative infinity

• f(x) approaches positive infinity

• f(x) remains constant