show that the product of two monic polynomial.
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The polynomials in only one variable with leading coefficient , are called monic polynomials. Here has only one variable and the leading coefficient is , and thus is also monic. This completes the proof.
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Answer:
Definition. The polynomials in only one variable with leading coefficient , are called monic polynomials.
Solution:
Let two monic polynomials be
where
If the products of the polynomials and be defined by , we can write
Here has only one variable and the leading coefficient is , and thus is also monic.
This completes the proof.
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