Math Problem Statement

Determine whether the following function is a polynomial function. If the function is a polynomial​ function, state its degree. If it is​ not, tell why not. Write the polynomial in standard form. Then identify the leading term and the constant term. ​g(x)equalsx Superscript one half Baseline minus x squared plus 1 Question content area bottom Part 1 Determine whether​ g(x) is a polynomial or not. Select the correct choice below​ and, if​ necessary, fill in the answer box to complete your choice. A. It is a polynomial of degree    enter your response here. ​(Type an integer or a​ fraction.) B. It is not a polynomial because the variable x is raised to the    one half ​power, which is not a nonnegative integer. ​(Type an integer or a​ fraction.) Your answer is not correct.C. It is not a polynomial because the function is the ratio of two distinct​ polynomials, and the polynomial in the denominator is of positive degree. Part 2 Write the polynomial in standard form. Then identify the leading term and the constant term. Select the correct choice below​ and, if​ necessary, fill in the answer box to complete your choice. A. The polynomial in standard form is ​g(x)equals    enter your response here with the leading term    enter your response here and the constant    enter your response here. ​(Use integers or fractions for any numbers in the​ expressions.) B. The function is not a polynomial.

Solution

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Math Problem Analysis

Mathematical Concepts

Polynomial Functions
Exponents
Standard Form of Polynomials

Formulas

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Theorems

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Suitable Grade Level

Grades 9-12