Factorization and Fraction Operations

This video tutorial explains how to use factorization to simplify fractions. It covers five types of factorization: common factor, squares, difference of squares, trinomial, and cubes. The tutorial demonstrates how to factorize each part of a fraction separately and then cross cancel to simplify. Examples include factorizing trinomials and using the difference of squares method. The video concludes with a reminder to avoid incorrect cancellations.

Which of the following is NOT a type of factorization mentioned in the video?

• Difference of squares

• Cubes

• Common factor

• Quadratic formula

What is the first step in solving fraction problems involving multiplication or division?

• Factorize each part separately

• Use the quadratic formula

• Add the fractions

• Convert to decimals

In the trinomial x^2 - 3x - 4, what are the factors of the last number?

• 3 and 1

• 2 and 2

• 5 and 0

• 1 and 4

What combination of factors gives the middle term -3 in x^2 - 3x - 4?

• 4 and -1

• -4 and 1

• 2 and 2

• 3 and -1

For the trinomial x^2 + 2x - 3, which factor combination gives the middle term 2?

• 3 and 1

• 2 and 2

• 1 and 3

• 3 and -1

What is the sign of the number 3 in the trinomial x^2 + 2x - 3?

• Negative

• Undefined

• Zero

• Positive

What type of factorization is used for x^2 - 1?

• Grouping

• Common factor

• Trinomial

• Difference of squares

In the factorization of x^2 - 1, what are the terms in the brackets?

• x + 2 and x - 2

• x + 1 and x - 1

• x - 1 and x - 1

• x + 1 and x + 1

What is the first step in factorizing using a common factor?

• Find the greatest common divisor

• Multiply all terms

• Add all terms

• Divide by the smallest term

In the example of factorizing using a common factor, what is the common factor taken out?

• 4

• 3

• 2

• x