I have no idea what im doing

Mathematics

1 answer:

omeli [17]2 years ago

8 0

Answer:

x = - 6

Step-by-step explanation:

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

<u>Let's factorize the numerator and denominator:</u>

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)

<u>We have same factor of x + 6:</u>

x + 6 = 0
x = - 6 is a hole

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