How to factor trigonometric expressions

The video tutorial covers the process of factoring, focusing on rewriting expressions as multiplication problems. It explains how to factor trinomials into binomials and addresses the difference of squares. The instructor provides tips for factoring expressions involving sine and cosine, and emphasizes the importance of practice problems to master the concepts.

What is the first step in factoring an expression with a common element?

• Divide by the largest coefficient

• Multiply all terms by 2

• Identify the common element

• Rewrite it as an addition problem

When factoring trinomials, what is the result of multiplying X + 1 by X + 1?

• X^2 + X + 1

• X^2 + 2X

• X^2 + 2X + 1

• X^2 + 1

What should you do if you get stuck factoring an expression with sine of X?

• Add 1 to all terms

• Replace sine of X with X, factor, then substitute back

• Multiply by cosine of X

• Divide by sine of X

How do you factor the expression X^2 - 1?

• (X - 1)(X + 1)

• (X + 1)(X + 1)

• (X - 1)(X - 1)

• (X + 1)(X - 2)

If the middle term is negative and the last term is positive, what can be said about the factors?

• Both factors must be negative

• Both factors must be positive

• One factor is positive, the other is negative

• The factors are equal