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Question
question
determine if the expression $-sqrt{b}$ is a polynomial or not. if it is a polynomial, state the type and degree of the polynomial.
answer attempt 1 out of 2
the given expression a polynomial.
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Step1: Recall polynomial definition
A polynomial is an expression of the form \(a_nx^n + a_{n - 1}x^{n - 1}+\dots+a_1x + a_0\), where \(n\) is a non - negative integer and \(a_i\) are constants. The exponents of the variable must be non - negative integers.
Step2: Analyze the given expression
The expression \(-\sqrt{b}\) can be rewritten as \(-b^{\frac{1}{2}}\). Here, the exponent of the variable \(b\) is \(\frac{1}{2}\), which is not a non - negative integer.
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The given expression is not a polynomial. So the answer for the blank is "is not".