Question

Help would be much appreciated!​

Answer 1

Answer:

• x = 5

Step-by-step explanation:

A hole is an input value that makes both numerator and denominator equal to zero.

In other words, same factor in both numerator and denominator.

Let's factorize the denominator:

• x² - 7x + 10 = x² - 5x - 2x +  10 = x(x - 5) - 2(x - 5) = (x - 2)(x - 5)

We have same factor of x - 5:

• x - 5 = 0
• x = 5 is a hole