How do you factor a polynomial

The video tutorial explains the process of factoring by the greatest common factor (GCF). It begins with an introduction to the importance of understanding factoring and the concept of rewriting expressions as products. The tutorial uses the number 8 to demonstrate basic factoring, then extends the concept to algebraic expressions and polynomials. The process involves identifying the GCF of terms and using it to simplify expressions. The video covers factoring binomials, trinomials, and polynomials with multiple terms, emphasizing the application of the distributive property to verify results.

What is the primary goal of factoring an expression?

• To eliminate variables

• To rewrite it as a product of expressions

• To rewrite it as a sum of terms

• To simplify the expression

When factoring a binomial, what is the first step in the process?

• Subtract the terms

• Add the terms

• Identify the GCF

• Multiply the terms

How can you verify the correctness of your factored expression?

• By multiplying the terms

• By dividing the terms

• By using the distributive property

• By adding the terms

What is the GCF of the terms 7, 14, and 21?

• 3

• 21

• 7

• 14

In the context of factoring polynomials, what does the GCF represent?

• The smallest term that divides all terms

• The largest term that divides all terms

• The difference between the largest and smallest terms

• The sum of all terms