Finding LCD and Factoring Techniques

The video tutorial by Teacher Jenny covers the concept of finding the least common denominator (LCD) in rational expressions. It begins with an introduction to rational expressions and the importance of LCD. The tutorial then explains methods to find the LCD when denominators are numerical, using techniques like prime factorization and least common multiple (LCM). It progresses to finding the LCD with algebraic and binomial denominators, emphasizing factoring and simplification. The video concludes with a summary of the key points discussed.

What does LCD stand for in the context of rational expressions?

• Largest Common Divisor

• Least Common Divisor

• Largest Common Denominator

• Least Common Denominator

Which method is NOT used to find the LCM?

• Listing Method

• Prime Factorization

• Graphical Method

• Division Method

What is the first step in finding the LCD using prime factorization?

• Add all numbers

• Break down into prime numbers

• Multiply all numbers

• List all multiples

When factoring a number like 36, which prime number do you start with?

• 2

• 5

• 7

• 3

What is the LCD of 12 and 36?

• 48

• 12

• 24

• 36

What should you do if the denominator is non-factorable?

• Multiply by 2

• Leave it as is

• Add 1

• Divide by 2

How do you handle a denominator that can be factored?

• Ignore it

• Factor it out

• Multiply it by 10

• Divide it by 5

What is the LCD of 5b² and 10a³b?

• 15a³b²

• 20a³b²

• 10a³b²

• 5a³b²

What is the first step in finding the LCD with binomials?

• Subtract all terms

• Check if they can be factored

• Multiply all terms

• Add all terms

What is the result of multiplying (x + 1)(x - 2) using the FOIL method?

• x² + x - 2

• x² - x - 2

• x² + x + 2

• x² - x + 2