Factoring Expressions with Irrational Numbers

The video tutorial explains how to factor expressions in the form of x^2 minus a constant using irrational numbers. It introduces the concept of factoring a difference of squares and provides two examples: factoring x^2 - 6 and 4x^2 - 5. The tutorial also emphasizes the importance of verifying the correctness of the factored expressions by multiplying the factors back together.

What is the general form of an expression that can be factored using irrational numbers?

• x^2 + C

• x^2 * C

• x^2 - C

• x^2 / C

When factoring x^2 - 6, what are the resulting factors?

• x + 6 and x - 6

• x + √6 and x - √6

• x + 2 and x - 2

• x + 3 and x - 3

In the example of factoring 4x^2 - 5, what is the value of the irrational number used?

• √2

• √10

• √4

• √5

What are the factors of 4x^2 - 5?

• 2x + √4 and 2x - √4

• 2x + 2 and 2x - 2

• 2x + √5 and 2x - √5

• 2x + 5 and 2x - 5

Why is it important to verify the factors by multiplying them?

• To check if the expression is a perfect square

• To find the value of x

• To ensure the factors are correct

• To simplify the expression