Determine which functions are polynomial functions. For those that are, state the degree. For those that are not, tell why not. F(x)=5x4−πx3+12

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Determine which functions are polynomial functions. For those that are, state the degree. For those that are not, tell why not.  F(x)=5x4−πx3+12

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Step1  Given function is F(x)=5x4−πx3+12  To determine whether functions are polynomial functions.  Solution:  A polynomial function is a function which have only non-negative integers power of variables.  Given function is F(x)=5x4−πx3+12  Here, we can find that power of variable in non-negative integers.  Therefore, given function isa polynomial function.  Step2  The degree of a polynomial is the highest power of variables in the expression.  In the given function, the highest power of the variable is 4.  Therefore, degree of the polynomial is 4.  Hence, given function isa polynomial function and its degree is 4.

Determine which functions are polynomial functions. For those that are,

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