Factoring Common Factors in Algebra

The video tutorial teaches factorization in mathematics, focusing on identifying common factors and placing them in evidence. It begins with an introduction to learning math without technology, followed by a detailed explanation of factorization. The tutorial includes examples, such as factorizing 6x² - 4 and a more complex example with three terms, to reinforce the concept. The video concludes with a call to action for viewers to like and subscribe.

Why is it suggested to learn mathematics without much technology?

• It is more fun.

• It is the traditional way.

• It helps in better understanding.

• It is easier.

What is the first step in factoring with a common factor?

• Divide the terms.

• Add the terms.

• Multiply the terms.

• Identify the common factor.

In the example 3x, what is the common factor?

• 3

• x

• 3x

• None

What is the result of factoring 6x² - 4?

• 2x(3 - 2x)

• 2(3x - 2)

• 2x(3x + 2)

• 2x(3x - 2)

What is the common factor in the terms 6x² and 4?

• 2

• x

• 2x

• 4

How is the number 8 decomposed in the example?

• 3 x 3

• 4 x 2

• 2 x 4

• 2 x 2 x 2

What is the common factor in the terms 8x³, 4x², and 12x?

• 12x

• 2x

• 4x

• 8x

What is the result of factoring 8x³ - 4x² + 12x?

• 4x(2x² - x + 3)

• 4x(2x² + x + 3)

• 4x(2x² + x - 3)

• 4x(2x² - x - 3)

What is the common factor in the terms 4x² and 12x?

• 4x

• 2x

• 8x

• 12x

What should be done after identifying the common factor in factoring?

• Add the terms.

• Multiply the terms.

• Write the remaining terms inside parentheses.

• Divide the terms.