Factoring by Grouping: Techniques for 4 Terms

Why is factoring by grouping considered a fundamental method in algebra?

• It is easier than other methods.

• All other factoring methods are based on it.

• It does not require finding the greatest common factor.

• It is the only method to factor polynomials.

What is the greatest common factor (GCF) of the terms 5x^2 and 10x?

• 5

• x

• 5x

• 10x

In the first example, what is the shared factor found in both halves of the polynomial?

• 5x + 2

• x + 2

• 2

• 5x

What is the greatest common factor (GCF) of the terms 3x^2 and 12x?

• 3

• x

• 12x

• 3x

In the second example, what is the other factor besides x + 4?

• 3x + 4

• 7x + 4

• 3x + 28

• 3x + 7

What is the greatest common factor (GCF) of the terms 10x^2 and -20x?

• 10

• -20x

• x

• 10x

In the third example, what is the factor that should be found in both halves of the polynomial?

• 10x + 9

• 9x

• 10x

• x - 2

What is the greatest common factor (GCF) of the terms 2x and 6?

• 6

• 2

• x

• 2x

In the final example, what is the other factor besides x + 6?

• 2x + 5

• x - 5

• 2x - 5

• 2x + 6

What will the example videos show you how to factor?

• Quadrinomials

• Polynomials

• Binomials

• Trinomials