How many solutions does −x5+4x3+4x1−3x=0 have?

1 Answer
Lil Del
Oct 21, 2016

The polynomial has 5 solutions.

Explanation:

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.

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