Mastering LCM and LCD Concepts

The video tutorial covers factoring techniques, starting with identifying the greatest common factor (GCF) and using the X method. It introduces the Divide and Slide shortcut for efficient factoring. The lesson progresses to finding the least common multiple (LCM) of numbers and algebraic expressions, followed by determining the least common denominator (LCD) of rational expressions. The session concludes with a practical application through quizzes and a brief discussion on homework and AMI days.

What is the first step in factoring a polynomial?

• Rewrite the polynomial

• Divide by the leading coefficient

• Check for a GCF

• Use the X method

In the X method, what goes on top of the X?

• The coefficient of the middle term

• The product of the first and last coefficients

• The constant term

• The sum of the coefficients

What is the next step after factoring out the GCF?

• Simplify the polynomial

• Combine like terms

• Divide by the GCF

• Use the X method

What is the purpose of the Divide and Slide method?

• To simplify the polynomial

• To factor the polynomial quickly

• To combine like terms

• To find the GCF

What does LCM stand for?

• Least Common Multiple

• Largest Common Monomial

• Largest Common Multiple

• Least Common Monomial

How do you find the LCM of two numbers?

• Find the GCF and multiply by the remaining factors

• Subtract the smaller number from the larger one

• List the multiples and find the smallest common one

• Add the numbers together

When finding the LCM of algebraic expressions, what should you do with the variables?

• Ignore them

• Take the one with the highest exponent

• Multiply them together

• Add their exponents

What is the first step in finding the LCM of x^2 + x - 12 and x^2 - 9?

• Multiply the expressions

• Divide the expressions

• Add the expressions

• Factor both expressions

What does LCD stand for?

• Least Common Difference

• Largest Common Denominator

• Largest Common Difference

• Least Common Denominator

How do you find the LCD of rational expressions?

• Factor the numerators

• Find the LCM of the denominators

• Add the denominators

• Subtract the numerators