Factoring Polynomials with the Greatest Common Factor

Mrs. Dewer introduces factoring polynomials, focusing on the greatest common factor (GCF) method. She explains the concept by comparing it to factoring integers and provides examples to illustrate the process. The video covers step-by-step instructions for factoring polynomials using the GCF method, including examples with multiple terms and variables. The tutorial concludes with a call to action for viewers to like and subscribe.

What is the purpose of factoring polynomials?

• To divide polynomials by each other

• To compare polynomials

• To find the original polynomial from its factors

• To simplify expressions for easier calculation

How do you check if your factoring of a polynomial is correct?

• By adding the factors together

• By dividing the polynomial by one of its factors

• By subtracting the factors

• By multiplying the factors together

In the example with 10x squared plus 5x, what was the GCF?

• 5x

• 15x

• 10x

• 2x

What does GCF stand for in polynomial factoring?

• Given Calculated Formula

• General Common Form

• Greatest Common Factor

• Greatest Calculated Figure

What is the first step in factoring a polynomial using the GCF method?

• Identify the highest degree of the polynomial

• Multiply all terms by the GCF

• Divide each term by the GCF

• List all factors of each term

When factoring polynomials, what does it mean to 'distribute' a term?

• To multiply the term by each part of the polynomial

• To subtract the term from the polynomial

• To add the term to each part of the polynomial

• To divide the polynomial by the term

How do you find the GCF of a polynomial?

• By multiplying all the terms together

• By listing factors of each term and finding the common ones

• By dividing the polynomial by its smallest term

• By adding all the coefficients

What do you do after finding the GCF in polynomial factoring?

• Add it to each term

• Multiply it by each term

• Subtract it from each term

• Divide each term by the GCF and write the quotient inside parentheses

How can you apply the GCF method to a polynomial with three terms?

• By multiplying each term by the GCF

• By adding a GCF to each term

• By dividing each term by three

• By finding a common factor for all three terms

What is the significance of including a '1' when factoring a term like -4xy?

• To make the polynomial easier to read

• To signify the beginning of the polynomial

• To increase the value of the polynomial

• To ensure the term is distributed correctly