How many solutions does #-x^5+4x^3+4x^1-3x= 0# have?

1 Answer
Oct 21, 2016

The polynomial has 5 solutions.


The degree of a polynomial is equal to its highest-degree term. The degree of a term is equal to the sum of its variable's exponents. In this polynomial, the highest-degree term has a degree of #5#, so the degree of the polynomial is #5#. This is important because a polynomial has the same number of solutions as its degree. Therefore, this fifth-degree polynomial has #5# solutions.