determine whether the expression is a polynomial. if it is, state how many terms and variables the polynomial contains. then state its degree.
\[-5x+\frac{ 1 }{3x }\]
Not a polynomial. For any polynomial, the degree of the variable must be an integer value greater than or equal to 0.
ok what about this one\[-3x ^{-4}y ^{4}\]
Here we notice that:\[\bf -5x+\frac{1}{3x}=-5x+\frac{1}{3}x^{-1}\]Clearly, the second 'x' has a degree less than one.
Like I said, the degree of the variables must be an integer value greater than or equal to 0. Is this true for the second one? (Hint: Look at the exponent of 'x')
no it is less than 0
so this one would not be a polynomial either
exactly.
ok thanks
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