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Determine whether the following function is a polynomial function. If the functi

ID: 2911936 • Letter: D

Question

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.

f(x)=4x+x^5

Determine whether f(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 ____.

B. It is not polynomial because the variable x is raised to the ____ power, which is not a nonnegative integer.

C. It is not a polynomial because the constant term is absent.

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 f(x)=____with the leading term____ and the constant____.

B. The function is not a polynomial.

Explanation / Answer

f(x) = 4x + x^5

f(x) is a polynomial function of degree 5

writing polynomial in standard form

f(x) = x^5 + 4x

standard form is f(x) = x^5 + 4x with leading term x^5 and the constant = 1

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