Valdez Santiago
01/10/2024 · Elementary School

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. \( \mathrm{G}(\mathrm{x})=2(\mathrm{x}-1)^{2}\left(\mathrm{x}^{2}+2\right) \) Determine whether \( \mathrm{G}(\mathrm{x}) \) 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 not a polynomial because the variable x is raised to the \( \square \) power, which is not a nonnegative integer. (Type an integer or a fraction.) B. It is a polynomial of degree \( \square \). (Type an integer or a fraction.) 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 complete your choice. A. The polynomial in standard form is \( \mathrm{G}(\mathrm{x})=\square \) with leading term \( \square \) and constant \( \square \). B. The function is not a polynomial.

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It is a polynomial of degree 4. The standard form is \( G(x) = 2x^4 - 4x^3 + 6x^2 - 8x + 4 \), with leading term \( 2x^4 \) and constant term \( 4 \).

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