Fundamental theorem of algebra, Algebra

If P (x) is a polynomial of degree n then P (x) will have accurately n zeroes, some of which might repeat.

This fact says that if you list out all the zeroes & listing each one k times where k is its multiplicity you will have exactly n numbers in the list. Another manner to say this fact is that the multiplicity of all the zeroes has to add to the degree of the polynomial.

It will be a nice fact in a couple of sections when we go into detail regarding finding all the zeroes of polynomial.  If for a polynomial we know an upper bound for the number of zeroes then we will know while we've found all of them and thus we can stop looking.

Posted Date: 4/8/2013 2:39:50 AM | Location : United States







Related Discussions:- Fundamental theorem of algebra, Assignment Help, Ask Question on Fundamental theorem of algebra, Get Answer, Expert's Help, Fundamental theorem of algebra Discussions

Write discussion on Fundamental theorem of algebra
Your posts are moderated
Related Questions
Utilizes augmented matrices to solve out each of the following systems. x - y = 6 -2x + 2 y = 1 Solution Now, already we've worked this one out therefore we know that


how can we solve if the given is negative?

Here we'll be doing is solving equations which have more than one variable in them.  The procedure that we'll be going through here is very alike to solving linear equations that i

Lee is taking some friends on a picnic. They''ll need to follow a path to get to the picnic spot. A map of the path is based on a scale of 1:30,000, in cm. If the path is 12 cm on


steps to figuring out the answer 3(2p-1)-5p=4

In this section we have to take a look at the third method for solving out systems of equations.  For systems of two equations it is possibly a little more complex than the methods

I have a homework question to use the factor theorem that I need to use Synthetic Substitution with. I did all the work and the divisor is a factor but the equation I have to use t