How to identify when it is a hole or a fake hole

The video tutorial covers the process of factoring expressions and the conditions under which division properties can be applied. It explains the concept of removable discontinuities, also known as holes, and addresses common misconceptions about when a discontinuity occurs. The tutorial emphasizes that a discontinuity only exists if it makes the denominator zero, using examples to clarify these points. The session concludes with a simplified example to reinforce the learning.

Why can division only be applied when terms are separated by multiplication?

• Because it ensures the terms are in factored form

• Because it is a rule of addition

• Because it simplifies the expression

• Because it makes the expression undefined

What is the discontinuity associated with the term X + 2?

• A vertical asymptote

• A hole at X = -2

• A hole at X = 2

• A horizontal asymptote

Why does the term 3 not create a discontinuity?

• Because it does not make the denominator zero

• Because it is not in the denominator

• Because it is a constant

• Because it is a factor of the numerator

What condition must be met for a discontinuity to occur?

• The terms must be multiplied

• The denominator must be zero

• The numerator must be zero

• The expression must be factored

What is the simplified expression with a hole at X = -2?

• 3X + 6

• X - 2

• 3X - 6

• X + 2