How to Find the Zeros of a Polynomial to the Third Power by Factoring GCF

The video tutorial explains how to find X intercepts by setting equations to zero and factoring them. It emphasizes the use of algebraic methods over graphing calculators for efficiency. The tutorial demonstrates transforming equations into factored form to apply the zero product property, allowing for the determination of X values and their multiplicities.

What is the first step in finding the X intercepts of an equation?

• Set the equation to y = 1

• Set the equation to y = 0

• Use a graphing calculator

• Multiply all terms by 2

Why might it be beneficial to solve an equation without a graphing calculator?

• It is the only method available

• It is faster in all cases

• It helps in understanding the algebraic process

• It is always more accurate

What is the purpose of factoring an equation before solving it?

• To convert it into a graph

• To make it more complex

• To apply the zero product property

• To eliminate all variables

What common term is factored out in the example given?

• X

• X^2

• 5

• Y

What does a multiplicity of two indicate about a solution?

• The solution is incorrect

• The solution appears twice and the graph touches the x-axis

• The solution is unique

• The solution is irrelevant