Factoring and GCF in Algebra

This video tutorial by Kirk Weiler focuses on factoring polynomials, a key skill in algebra. It begins with an introduction to the concept of factoring, explaining the difference between factors as verbs and nouns. The lesson progresses through exercises that demonstrate how to factor binomials and identify the greatest common factor (GCF) of terms. The tutorial emphasizes the importance of understanding equivalent expressions and mindful manipulation of algebraic expressions. Advanced techniques are also explored, preparing students for more complex algebraic problems.

What is the main focus of this lesson on polynomials?

• Graphing polynomials

• Solving polynomial equations

• Factoring polynomials

• Multiplying polynomials

In algebra, what does the verb 'factor' mean?

• To rewrite an expression as a product

• To solve an equation

• To graph an expression

• To simplify an expression

What is the greatest common factor (GCF) of 6x² and 15x?

• 6x

• 5x

• 3x

• 2x

How can you verify that two expressions are equivalent?

• By solving them

• By graphing them

• By simplifying them

• By evaluating them for the same value of x

What is the GCF of 12x³ and 18x?

• 2x

• 3x

• 9x

• 6x

How do you factor the expression 6x² + 10x?

• 2x(3x + 5)

• 3x(2x + 5)

• 2x(3x + 4)

• 5x(2x + 3)

What is the GCF of the expression x + 5 times x - 1 plus x + 5 times 2x - 3?

• x + 3

• 2x - 3

• x - 1

• x + 5

If 3x + 5 equals 9, what is the value of the expression 3x + 5 times 3x + 7 plus 1?

• 90

• 100

• 99

• 101