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27 June, 06:30

On a test, leo is asked to completely factor the polynomial 3x3 - 3x 5x2 - 5. he uses double grouping to get (x2 - 1) (3x 5). has he factored the polynomial completely? explain.

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  1. 27 June, 06:49
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    He did not factor completely. The first binomial is not prime. x2 - 1 is a perfect square binomial. The correct answer is (x - 1) (x + 1) (3x + 5).
  2. 27 June, 10:12
    0
    No, Leo's answer is not a product of prime polynomials because x2 - 1 can be factored. This is a difference of squares. He should continue factoring to get

    (x - 1) (x + 1) (3x + 5).
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