Factoring a binomial by distributive property

The video tutorial explains how to factor expressions by identifying common factors and rewriting them as products of two factors. It begins with simple expressions and progresses to more complex ones involving variables. The process of factoring is explained step-by-step, emphasizing the importance of finding common factors and verifying the results by multiplying the factors to retrieve the original expression.

What is the first step in rewriting an expression like 2M + 2 as a product of its factors?

• Multiply the terms by 2

• Add the terms together

• Subtract the terms

• Identify the greatest common factor

When factoring the expression 81R + 48RT, which common factor is identified first?

• 48

• 3

• R

• T

In the expression 81R + 48RT, after factoring out 3R, what is the resulting expression?

• 3R + 48RT

• 27R + 16RT

• 81 + 48T

• 27 + 16T

Why is it important to verify the factoring process by multiplying the factors?

• To eliminate variables

• To change the expression

• To simplify the expression further

• To ensure the factors are correct

What is the result of multiplying the factors 3R and 27 + 16T?

• 81R + 48RT

• 3R + 27 + 16T

• 81 + 48

• 3R + 16T