Fundamental Theorem, Answer 1

Find all real roots and their multiplicity of the polynomial

The polynomial f(x) has root x=1 with multiplicity 2.

2x+5=0 if x=-5/2; Consequently f(x) has the root x=-5/2, with multiplicity 3.

The polynomial is irreducible; here is its graph again:

Finally, the term , when . Thus f(x) has the root , with multiplicity 4.

Do you need more help? Please post your question on our S.O.S. Mathematics CyberBoard.

Helmut Knaust
Tue Jun 10 17:34:08 MDT 1997