What is the division property for rational expressions

The video tutorial explains the division property, which states that any number or polynomial divided by itself equals one. This property is crucial for simplifying rational expressions. The instructor demonstrates this concept with two examples: one involving fractions and another involving polynomials. The first example simplifies a fraction by applying the division property to both numbers and variables. The second example simplifies a polynomial expression, showing how identical polynomials can be divided to simplify the expression. The video emphasizes the importance of this property in solving problems involving rational expressions.

What is the result when a number is divided by itself?

• 0

• The number itself

• Undefined

• 1

How does the division property apply to polynomials?

• It results in a polynomial of the same degree.

• Dividing a polynomial by itself results in 1.

• It results in a polynomial of degree zero.

• It only applies to numbers, not polynomials.

In the example 5/10, what is the simplified form using the division property?

• 1/5

• 10/5

• 1/2

• 5/1

When simplifying the expression X - 1 / X - 1, what is the result?

• 1

• X - 1

• 0

• X

What remains in the expression 5 * (X + 1) / (X + 3) after simplification?

• 5 * (X + 1)

• 5 / (X + 3)

• 5 * (X - 1)

• 5 * (X + 3)