Factoring Binomials | Step by Step | Part 2

This video tutorial is part 2 of a series on factoring, focusing on binomials. It begins with a comparison to monomials and explains how to factor expressions like 3X + 9 by finding common factors. The tutorial covers factoring with variables, the difference of squares, and the difference of cubes, providing step-by-step examples and emphasizing the importance of rewriting expressions as products.

What is the first step in factoring a binomial like 3X + 9?

• Find a common factor of the terms

• Multiply the terms together

• Subtract a constant from the expression

• Add a constant to the expression

When factoring 3X + 9, what is the common factor used?

• 1

• 9

• 3

• 6

In the expression 3X^2 + 9X, what is the common factor that can be factored out?

• X

• 3X

• 9

• 3

What is the result of factoring Y^3 - 9Y?

• Y^2 - 9

• Y(Y - 9)

• Y^2(Y - 9)

• Y(Y^2 - 9)

What is the factored form of a difference of two squares, a^2 - b^2?

• (a + b)^2

• (a - b)(a + b)

• a^2 + b^2

• (a - b)^2

Which formula is used for factoring a difference of two cubes?

• a^3 - b^3 = (a - b)(a^2 + ab + b^2)

• a^2 - b^2

• a^3 + b^3 = (a + b)(a^2 - ab + b^2)

• a^2 + b^2

What should you do if a binomial has no common factors?

• Add a constant to the expression

• Use the difference of squares or cubes method

• Multiply the terms together

• Divide the terms by a random number