Is x-1/x+1 a polynomial? Explain why or why not.
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1
Answer:
Step-by-step explanation:
No, because it’s only one term. Although the numerator and the denominator, separately, are binomials (a binomial is a polynomial with just two terms) the entire term is just a single fraction and thus not a binomial or polynomial. Below are two ways to look at the same values that would make them a binomial:
(x-1)(x+1). This is a pair of binomials
x^2–1 is the expanded and simplified form of the above pair of binomials, and is itself a binomial.
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2
Answer:
No, x+1/x=1 is not a polynomial.
Explanation:
A polynomial cannot have a term with the variable in the denominator, such as 1/x.
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