How to Find the Zeros of a Cubic Polynomial with Four Terms by Factoring

The video tutorial explains different factoring techniques for polynomials, focusing on factoring by grouping for four-term polynomials. It provides a step-by-step guide on how to apply this technique, solve the equation, and understand the implications for graphing, including the concept of multiplicity and how it affects the graph's behavior.

What is the first step in factoring a polynomial with four terms?

• Set the equation to zero

• Use the quadratic formula

• Combine like terms

• Divide by the highest coefficient

When grouping terms in a polynomial, what should be factored out?

• The constant term

• The highest exponent

• The greatest common factor

• The smallest coefficient

Why is it important for the expressions inside the parentheses to be the same when factoring by grouping?

• To make the equation linear

• To ensure the equation is balanced

• To simplify the equation

• To allow for further factoring

What does an odd multiplicity indicate about the graph of a polynomial?

• The graph will touch the x-axis

• The graph will cross the x-axis

• The graph will be a straight line

• The graph will have no x-intercepts

After factoring a polynomial, what can be determined about the equation?

• The leading coefficient

• The number of terms

• The degree of the polynomial

• The solution set