3 years ago

Which of the following is equal to the rational expression when x≠-2 or -6? 3(x+2)/(x+6)(x+2)

1 answer:

4 0

Answer:

3(x+2)=0

3x+6=0

3x=-6

x=-2

for, (x+2)(x+2)=0

x2 +4x+4=0

x=-2 , or x=4

and is

(x+6)(x+2)

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Fittoniya [83]

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3 years ago

sammy [17]

Using the rational root theorem, it is found that your friend is correct.

<h3>What is the rational root theorem?</h3>

It is a theorem that states that for a polynomial with integer coefficients, with q being the factors of the leading coefficient and p being the factors of the constant, every <u>possible rational root</u> is the format $\frac{p}{q}$ .

In this problem:

The leading coefficient is 1, hence it's only factor is $q = 1$ , thus guaranteeing that every possible rational zero is an integer, which means that your friend is correct.