His answer was (x- +2) (x^2-9)
a) His mistake was he has x^2 in one of the parenthesis, to be fully factored you cannot have an exponent as part of the answer.
b) x^3 - 9x + 2x^2 -18
Reorder the terms:
x^3 +2x^2 -9x -18
Group the first two terms and the last two terms
(x^3 + 2x^2) -9x-18
Factor out the greatest common factor from each group:
x^2(x+2) - 9(x+2)
Factor the polynomial by factoring out the common factor once x+2:
(x+2) (x^2-9)
Rewrite 9 as 3^2:
(x+2) (x^2-3^2)
Factor one last time:
(x+2) (x+3) (x-3)
Answer: Choice B
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Explanation:
The original equation is 
with 8 as the base. That is also the base of the log when we get the final answer shown above. Logs are useful to isolate the exponent.
The general rule is that 
is equivalent to the log form of 
where b is the base of each.
Option B : 
is the horizontal asymptote.
Explanation:
The function is 
The horizontal asymptote can be determined by
Thus, from the function, the leading coefficient of numerator is -4
The leading coefficient of denominator is 8
Thus, substituting the values in the formula , we get,
Dividing, we get,
Thus, the horizontal asymptote is
Hence, Option B is the correct answer.
Answer:
1. Evan
2. Stacey
Step-by-step explanation:
