How do you factor the GCF from an expression

The video tutorial explains the process of factoring out the greatest common factor (GCF) from mathematical expressions. It begins with an introduction to the concept, followed by examples of factoring simple binomials and polynomials. The tutorial then covers factoring expressions with variables and common factors, and concludes with advanced techniques such as factoring by grouping. The goal is to simplify expressions and make problem-solving easier by identifying and dividing out common terms.

What is the primary benefit of factoring out the GCF from an expression?

• It makes the expression longer.

• It simplifies the expression.

• It makes the expression more complex.

• It changes the expression's value.

When factoring the expression 3x + 6, what is the GCF?

• 6

• 3

• 9

• x

After factoring out the GCF from 3x^2 + 9x + 15, what is the resulting expression?

• x^2 + 3x + 5

• x^2 + 3x + 15

• 3(x + 3x + 5)

• 3(x^2 + 3x + 5)

In the expression 3x^2y^3 - 4xy^3 + 5x^4y^3, what is the GCF?

• x^2y^3

• 3xy^3

• xy^3

• x^4y^3

What is the result of factoring out the GCF from 5(x - 9) + 2(x - 9)?

• 5(x - 9) + 2(x - 9)

• (x - 9)(5 + 2)

• (5x + 2)(x - 9)

• 5x - 9 + 2x - 9

In the expression sin^2(x) + sin(x)tan(x), what common factor can be factored out?

• tan(x)

• cos(x)

• sin(x)

• 1

What is the purpose of factoring by grouping?

• To increase the number of terms

• To simplify complex expressions

• To change the expression's value

• To make the expression more difficult