Mastering the Basics of Factoring in Mathematics

The video tutorial introduces the concept of factoring, explaining it as expressing a number as a product of its divisors. It covers basic examples, such as finding factors of 12, and progresses to more complex topics like using the greatest common factor (GCF) method and factoring expressions with exponents. The tutorial also explains the distributive property and how to work backwards from multiplication to factoring. By the end, viewers should understand how to factor numbers and expressions, including those with variables and exponents.

What does factoring mean in mathematics?

• Subtracting divisors from a number

• Expressing a number as a product of its divisors

• Adding a number to its divisors

• Finding the square root of a number

Which numbers are factors of 12?

• 2 and 6

• 3 and 5

• 4 and 8

• 1 and 11

What is the distributive property?

• Multiplying the outside term with each term inside the bracket

• Dividing each term inside the bracket by the outside term

• Adding the outside term to each term inside the bracket

• Subtracting each term inside the bracket by the outside term

What does the distributive property allow you to do in multiplication?

• Factor out the greatest common factor

• Multiply the outside term with each inside term

• Divide each term by the outside term

• Combine like terms

How do you find the greatest common factor?

• By multiplying all the terms

• By adding all the terms

• By dividing the terms by the smallest number

• By dividing all the terms by the highest number possible

What is the result of factoring 4x + 20 using the greatest common factor?

• 20(x + 1)

• 2(x + 10)

• 4(x + 5)

• x(4 + 20)

What is the greatest common factor of 3x and -12?

• 3

• 6

• 1

• 12

When factoring expressions with exponents, what should you do with the exponents?

• Subtract them

• Add them

• Multiply them

• Ignore them

What is the result of factoring 3x(2x + 5)?

• 3x^2 + 15

• 6x^2 + 15x

• 9x + 15

• 6x + 15

What is the greatest common factor used to factor 6x^2 + 15x?

• 3x

• 15x

• 6x

• x