How to Find the Zeros of a Cubic Trinomial by Factoring

The video tutorial discusses the limitations of using traditional factoring techniques on non-quadratic expressions. It emphasizes the importance of identifying common factors before proceeding with factoring. The tutorial explains the role of linear factors in finding zeros and explores further factoring to identify specific numbers. It also covers the concept of multiplicity and how to represent solutions, including grouping zeros into solution sets. The video concludes by summarizing the key points discussed.

Why can't the factoring technique used for quadratics be applied to expressions raised to the third power?

• Because they have no common factors

• Because they are too complex

• Because they are not linear

• Because they are already factored

What should you look for before starting the factoring process?

• The coefficients

• The number of terms

• The common factors

• The degree of the polynomial

What is the significance of multiplicity in the context of factoring?

• It determines the degree of the polynomial

• It affects the number of solutions

• It indicates how many times a factor is repeated

• It shows the complexity of the equation

How do you find numbers that can be used to further factor a non-linear expression?

• By finding numbers that are even

• By finding numbers that are prime

• By finding numbers that divide evenly into the expression

• By finding numbers that add to a specific sum and multiply to a specific product

How can solutions to a factored equation be represented?

• As a table

• As a solution set

• As a graph

• As a list of numbers