Simplify the expression below. y1
1 answer:
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Answer:
Option D.
Step-by-step explanation:
The given expression is
It is a polynomial.
(x-c) is a linear factor of polynomial p(x) if p(c)=0.
Substitute x=-1 in the given expression.
It means (x+1) is not a linear factor of given expression.
Substitute x=-2 in the given expression.
It means (x+2) is not a linear factor of given expression.
Substitute x=-4 in the given expression.
It means (x+4) is not a linear factor of given expression.
None of the given options are a linear factor of given expression.
Therefore, the correct option is D.
Option A: The sum for the infinite geometric series does not exist
Explanation:
The given series is
We need to determine the sum for the infinite geometric series.
<u>Common ratio:</u>
The common difference for the given infinite series is given by
Thus, the common difference is
<u>Sum of the infinite series:</u>
The sum of the infinite series can be determined using the formula,
where
Since, the value of r is 3 and the value of r does not lie in the limit
Hence, the sum for the given infinite geometric series does not exist.
Therefore, Option A is the correct answer.