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

Yasmin

Answered question

2021-06-03

Is the following function 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

Answer & Explanation

okomgcae

okomgcae

Skilled2021-06-04Added 93 answers

g(x)=3x24 to g(x)=14x2+3.
This is a polynomial function.
The highest power of x is 2.
So, degree of the polynomial is 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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