Repeated application of the factor theorem may be used to factorize the polynomial.
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Is the factor theorem true for expressions ( polynomials ) of multiple variables?
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The factor theorem is another application of the remainder theorem : if the remainder is zero, then the linear divisor is a factor.
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*PM : proof of factor theorem using division, id = 6896-- WP guess : proof of factor theorem using division-- Status:
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*PM : proof of factor theorem using division, id = 6896-- WP guess : proof of factor theorem using division-- Status:
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*PM : proof of factor theorem due to Fermat, id = 7610-- WP guess : proof of factor theorem due to Fermat-- Status:
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*PM : proof of factor theorem due to Fermat, id = 7610-- WP guess : proof of factor theorem due to Fermat-- Status:
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I have a niggling feeling that the solution has to do with some use of the remainder or factor theorem that I haven't fully understood, but I'm not sure how to proceed.
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The symmetry factor theorem gives the symmetry factor for a general diagram : the contribution of each Feynman diagram must be divided by the order of its group of automorphisms, the number of symmetries that it has.
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The next two roots can be found by algebraically dividing x ^ 3 + 7x ^ 2 + 8x + 2 by ( x + 1 ) to get a quadratic, which can be solved directly, by the factor theorem or by the quadratic formula.
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