Factoring a polynomial using grouping

Factoring a polynomial using grouping

Assessment

Interactive Video

Mathematics

11th Grade - University

Hard

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5 questions

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1.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the first step in factoring an expression by grouping?

Divide the expression by the largest coefficient.

Identify the greatest common factor (GCF) of all terms.

Combine all terms into a single expression.

Multiply all terms together.

2.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

When using the grouping method, what should you do after grouping the first two and last two terms?

Subtract the second group from the first.

Add the terms together.

Factor out the GCF from each group.

Multiply the groups together.

3.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

In the context of factoring by grouping, what is the purpose of ensuring the factors are the same?

To simplify the expression into a single term.

To allow for the common factor to be factored out.

To ensure the expression is in its simplest form.

To make it easier to add the terms together.

4.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the result when you factor out a common factor from two identical expressions?

A single term with no common factors.

A product of the common factor and a new expression.

A sum of the two expressions.

A difference between the two expressions.

5.

MULTIPLE CHOICE QUESTION

30 sec • 1 pt

What is the final step in the factoring by grouping process?

Factor out the common factor from the identical expressions.

Multiply the grouped terms.

Divide the expression by the GCF.

Add all the terms together.