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)=3-\frac{x^{2}}{4}

Yasmin 2021-06-03 Answered
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)=3x24
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Expert Answer

okomgcae
Answered 2021-06-04 Author has 93 answers

Step 1
The given function is,
g(x)=3x24 or g(x)=14x2+3.
From the definition of polynomial function, it can be said that, the given function is a polynomial function.
The highest power of x in the expression 3x24 is 2.
Thus, degree of the polynomial is 2.
Step 2
The standard form of a polynomial function is,
g(x)=a2x2+a1x+a0, where a2=14,a1=0 and a0=3
g(x)=14x2+3

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