How to factor using the grouping method

How to factor using the grouping method

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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The video tutorial covers the process of factoring algebraic expressions, starting with an introduction to the concept and initial steps. It then explores various factoring methods, including difference of squares, difference of cubes, factoring trinomials, and factoring by grouping. The focus is on factoring by grouping, especially for expressions with four terms. The tutorial demonstrates how to group terms, factor out the greatest common factor (GCF), and ensure the expressions in parentheses are identical for successful factoring.

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Which of the following is NOT a factoring method discussed in the video?

Factoring by substitution

Difference of cubes

Factoring by grouping

Difference of squares

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

When should you consider using the factoring by grouping method?

When the expression is a perfect square

When the expression is a trinomial

When the expression has four terms

When the expression has two terms

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in the factoring by grouping method?

Group the first two terms and the last two terms

Rearrange the terms randomly

Factor out the GCF from the entire expression

Factor out a common binomial

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

Why is it important to ensure the expressions in the parentheses are identical?

To simplify the expression

To allow for further factoring

To make the expression a perfect square

To check for errors

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the example given, what is factored out from the expression to achieve identical parentheses?

A variable

A negative one

A positive one

A constant