Learn how to factor a basic polynomial by grouping

The video tutorial explains how to factor expressions by grouping. It begins with an introduction to the concept, followed by a step-by-step guide on grouping terms and factoring out common terms. The process involves identifying common factors in grouped terms and factoring them out to simplify the expression. The tutorial concludes with a summary of the steps and the final factored expression.

What is the primary goal when factoring an expression by grouping?

• To simplify the expression into a single number

• To eliminate all variables from the expression

• To break down the expression into a product of terms

• To combine all terms into a single term

When factoring the first group of terms, what is the highest power of X that can be factored out?

• X^3

• X

• X^4

• X^2

What is left after factoring out X^2 from the first group of terms?

• X + 2

• X^2 + 1

• X + 1

• 2X + 1

What common factor is identified in the second group of terms?

• 1

• X^2

• 2

• X

After factoring both groups, what is the final expression obtained?

• X^2(X + 1) + 2(X + 1)

• X^2 + 2

• X + 1

• X^2 + X + 2