Apolynomial has a degree of 9, and mary jane claims that it has exactly 4 real zeros. can her claim be correct? why or why not?
a) no, her claim cannot be correct. a polynomial of degree 9 must have 9 real or 9 nonreal solutions.
b) yes, her claim can be correct. if a polynomial with degree 9 has 4 real solutions then it will have 5 nonreal solutions.
c) yes, her claim can be correct. a polynomial with degree 9 can have at most 9 solutions, therefore having 4 real solutions is a possibility.
d) no, her claim cannot be correct. if a polynomial with degree 9 has 4 real solutions then it must have 5 nonreal solutions, which is not possible.