Factoring out the GCF from the denominator to help you simplify your rational expression

The video tutorial discusses the process of factoring, emphasizing the importance of identifying the Greatest Common Factor (GCF) before using other methods like trinomials. The instructor provides a detailed example, demonstrating how to factor a polynomial by first extracting the GCF. The tutorial concludes with a simplified version of the example, reinforcing the concept of equivalence in expressions.

What is a common method students initially consider for factoring?

• Using the trinomial method

• Using the binomial method

• Using the polynomial method

• Using the monomial method

What should you always look for first when factoring an expression?

• The largest coefficient

• The smallest term

• The Greatest Common Factor (GCF)

• The constant term

In the example given, what is identified as the GCF?

• 21

• 3

• 7X

• 11

What does the expression 7X * (X - 3) represent in relation to 7X^2 - 21X?

• A different expression

• A simplified version

• An unrelated equation

• The factored form

What is the final simplified version of the expression in the example?

• 7X^2 - 21X

• 21X - 7X^2

• 7X * (X - 3)

• X^2 - 3X