.. _sphx_glr_api_gallery_abstract_algebra_polynomial_ring:

Polynomial ring arithmetic
-----------------------------

Polynomial addition, multiplication, division, and gcd.


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  <div id='sg-tag-list' class='sphx-glr-tag-list'></div>


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    <div class="sphx-glr-thumbnails">

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    <div class="sphx-glr-thumbcontainer" tooltip="Divides two polynomials with remainder, and finds their greatest common divisor via the polynomial Euclidean algorithm -- exactly the integer Euclidean algorithm with polynomial division in place of integer division.">

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  .. image:: /api/gallery/abstract_algebra/polynomial_ring/images/thumb/sphx_glr_plot_01_division_and_gcd_thumb.png
    :alt:

  :doc:`/api/gallery/abstract_algebra/polynomial_ring/plot_01_division_and_gcd`

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      <div class="sphx-glr-thumbnail-title">Polynomial long division and the Euclidean algorithm</div>
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    </div>


.. toctree::
   :hidden:

   /api/gallery/abstract_algebra/polynomial_ring/plot_01_division_and_gcd