Learn how to find the holes of a rational function removable discontinuities

The video tutorial explains the concept of discontinuity at X=5, emphasizing that X cannot equal 5. The teacher guides through the factoring process, focusing on finding two numbers that multiply to -10 and add to -3. The expression X-5 * X+2 is simplified, and the discontinuity is identified as a removable hole. The session concludes with a task for students to apply the learned concepts.

What is the value of X that cannot be equal due to discontinuity?

What two numbers multiply to give -10 and add to give -3?

What is the factored form of the expression discussed in the text?

Explain why X = 5 is considered a removable discontinuity.

What does the teacher ask the students to do at the end of the text?