How to factor out a GCF from a polynomial to a higher order

The video tutorial explains how to factor polynomials by identifying common terms and using exponent rules. It covers the process of factoring out the largest common term and finding the greatest common factor (GCF) among numbers. The tutorial also emphasizes the importance of simplification and verification of the factored expression using the distributive property.

What is the first step in factoring a polynomial according to the video?

• Divide each term by the smallest coefficient

• Multiply all terms by the highest exponent

• Identify the common terms in each expression

• Add all coefficients together

How do you determine the greatest common factor of the coefficients in a polynomial?

• By adding all the coefficients

• By finding the smallest coefficient

• By identifying the largest number that divides all coefficients evenly

• By multiplying all coefficients together

What is the greatest common factor of the numbers 3, 9, and 54?

• 1

• 3

• 9

• 54

What should you do if the first factor you find is not the greatest common factor?

• Stop factoring

• Factor out another common factor

• Divide the polynomial by the first factor

• Multiply the factors back together

How can you verify that you have factored a polynomial correctly?

• By dividing the polynomial by the highest exponent

• By ensuring all terms are multiplied by zero

• By checking if the original polynomial can be reconstructed using the distributive property

• By adding all the terms together