# teorema del residuo

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My name is Juan David Avila graduate in mathematical of the U.P.T.C
n the dia of today in the kind of algebra taught them the teorema of the residue
Which be convenient to check if a division
Of a polynomial between a binomial of the form x-a
This well knowing whish is his residue
ANTECEDENTS
To do comprobaciones of what edge in the subject
Can use our calculator of synthetical division if we divided a polynomial
2x To the bucket least 4x to the square least 3x 2
Between the polynomial x-3
Found that the quotient
Of 2x to the square more 2x more 3 and that the residue is eleven
By another part if we evaluate numerical the function polynomial
F(X) corresponding to the polynomial 2x to the bucket
Least 4x to the square least 3x
more 2 For the value
For the value of x equal to 3 obtains
You observe the development of the ecuacion
Replacing in each one of the variables the value of x by 3
you account that is not any chance observe that the residue is
eleven, to continuacion will see 2 examples
there Have the ecuacion 4x least 3x mas
Divided between x more 2
Know that the value of x serious equal to -2
Replaced it in the equation and can know wish is the residue
The second example of the same way
The value in himself despeja That we obtain x and x Equal is a half
Replace The Value of a 1/2
In ALL The x That found in the ecuacion and know Cual is His Residue