Below is a few practice problems of various difficulty, but you will need considerably more practice than one each. For that reason you should definitely use the green “Try Another” button in the top right corner at least two or three times to complete additional versions of these questions for more practice. You should keep using that button until doing these problems feels straight forward and easy, and then come back after a week or so of doing other stuff and try again to make sure it is still just as easy for you.
Remember that if any of the terms is not a monomial (i.e. if any of the terms isn’t of the form for some real number “” and some positive integer “”) then the function is not a polynomial.
Consider the function . Is this function a polynomial?
Yes No
Remember that we defined a monomial as something of the form for some real number “” and some positive integer “”. So, how many terms don’t have that kind of form?
Notice that if the “” above is negative or a fraction, then that term isn’t a monomial.
How many terms in are not monomials? .
Remember that if any of the terms is not a monomial (i.e. if any of the terms isn’t of the form for some real number “” and some positive integer “”) then the function is not a polynomial.
Consider the function . Is this function a polynomial?
Yes No
Remember that we defined a monomial as something of the form for some real number “” and some positive integer “”. So, how many terms don’t have that kind of form?
Notice that if the “” above is negative or a fraction, then that term isn’t a monomial.
How many terms in are not monomials? .
Remember that if any of the terms is not a monomial (i.e. if any of the terms isn’t of the form for some real number “” and some positive integer “”) then the function is not a polynomial.
Consider the function . Is this function a polynomial?
Yes No
Remember that we defined a monomial as something of the form for some real number “” and some positive integer “”. So, how many terms don’t have that kind of form?
Notice that if the “” above is negative or a fraction, then that term isn’t a monomial.
How many terms in are not monomials? .