Why do we use factoring to simplify rational expressions

The video tutorial covers simplifying fractions and polynomials. It begins with a review of simplifying the fraction 12/8 by finding the greatest common factor, resulting in 3/2. The tutorial then transitions to factoring polynomials, using the example of X^2 - 4X + 3 divided by X - 3. The instructor explains the process of factoring and simplifying expressions by identifying common factors, drawing parallels between numerical and polynomial simplification.

What is the simplified form of the fraction 12/8?

• 6/4

• 3/2

• 2/1

• 4/3

What is the process of rewriting a number as a product of other numbers called?

• Factoring

• Multiplying

• Dividing

• Simplifying

Which of the following is a factor of 12?

• 7

• 9

• 6

• 5

What is the result of factoring the polynomial X^2 - 4X + 3?

• (X + 1)(X - 3)

• (X + 2)(X - 3)

• (X - 1)(X - 3)

• (X - 2)(X - 3)

When dividing X^2 - 4X + 3 by X - 3, what is the simplified result?

• X - 2

• X + 1

• X - 1

• X + 3