Question

I have no idea what im doing

Answer 1

Answer:

• x = - 6

Step-by-step explanation:

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

Let's factorize the numerator and denominator:

• 3x² - 108 = 3(x² - 36) = 3(x + 6)(x - 6)
• x² + 2x - 24 = x² + 6x - 4x - 24 = x(x + 6) - 4(x + 6) = (x - 4)(x + 6)

We have same factor of x + 6:

• x + 6 = 0
• x = - 6 is a hole