Factoring Techniques in Algebra

This video tutorial by Kirk Wier covers Unit 6, Lesson 2 of Common Core Algebra 2, focusing on factoring. It explains the importance of factoring in algebra, the dual meanings of the word 'factor', and introduces prime factorization. The lesson progresses to factoring binomials and expressions with variables using the greatest common factor (GCF). It also covers the difference of perfect squares and complete factoring by combining methods. The tutorial concludes with a summary of key concepts and takeaways.

Why is factoring considered an important skill in algebra?

• It is only used in Algebra 1.

• It is used in geometry.

• It helps in solving equations.

• It simplifies addition.

What are the two meanings of the word 'factor' in mathematics?

• A number and a letter.

• A verb and a noun.

• An equation and a solution.

• A sum and a product.

What is prime factorization?

• Dividing a number by primes.

• Writing a number as a product of primes.

• Writing a number as a sum of primes.

• Adding prime numbers together.

How does the distributive property help in factoring?

• It combines terms.

• It separates terms.

• It helps rewrite expressions as products.

• It adds terms together.

What is a common factor in binomials?

• A number that multiplies both terms.

• A number that divides both terms.

• A number that adds to both terms.

• A number that divides only one term.

How do you factor binomials with variables?

• By subtracting variables.

• By multiplying variables.

• By identifying common numerical and variable factors.

• By adding variables.

What is the first step in factoring trinomials?

• Multiplying all terms.

• Identifying the greatest common factor.

• Dividing by the smallest term.

• Finding the sum of terms.

What are conjugate products?

• Binomials that are identical.

• Binomials that differ by addition and subtraction.

• Trinomials that differ by addition and subtraction.

• Trinomials that are identical.

How do you factor the difference of perfect squares?

• By adding the squares.

• By writing it as a product of conjugates.

• By subtracting the squares.

• By dividing the squares.

What is complete factoring?

• Factoring by subtracting terms.

• Factoring by adding terms.

• Factoring only once.

• Factoring until no further factoring is possible.