From the remainder theorem, the remainder will be -2 and the relationship between f(x) and x + 2 is an inverse relationship.
<h3>What is the remainder of the division of the given polynomial?</h3>
The remainder theorem is used to determine the remainder where a polynomial is divided by a binomial.
The remainder theorem states that if a polynomial p(x) is divided by a binomial x - a, the remainder of the division is p(a).
Given the following division, f(x)/ x + 2
We can rewrite the binomial in this form:
x + 2 = x - (-2)
The division then becomes:
f(x)/ x - (-2)
From the remainder theorem, the remainder will be -2.
Therefore, the relationship between f(x) and x + 2 is an inverse relationship such that f(2) = -2
Learn more about remainder theorem at: brainly.com/question/13328536
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