How to find the least common multiple of two trinomials

The video tutorial explains how to find the least common multiple (LCM) of polynomials by first factoring them into simpler terms. It emphasizes the importance of identifying common factors and constructing the LCM by including these common factors along with the unique factors from each polynomial. The process is demonstrated step-by-step, ensuring clarity in understanding the concept.

What is the first step in finding the least common multiple of polynomials?

• Divide the polynomials

• Add the polynomials together

• Multiply the polynomials directly

• Factor the polynomials

When identifying common factors, what is the smallest factor that both polynomials must divide into?

• The sum of the polynomials

• The product of the polynomials

• A factor shared by both polynomials

• A factor unique to each polynomial

Which of the following must be included in the LCM of two polynomials?

• Only the common terms

• Both common and non-common terms

• Neither common nor non-common terms

• Only the non-common terms

Why is it necessary to include non-common terms in the LCM of polynomials?

• To ensure the LCM is the smallest possible

• To make the LCM larger

• To simplify the polynomials

• To ensure the LCM is divisible by both polynomials

What is the result of dividing a polynomial by its common factor with another polynomial?

• The original polynomial

• A new polynomial with a different factor

• A polynomial with a factor of +6

• A polynomial with no factors