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5 November, 03:37

Find the zeros of the following polynomial x^2-2x+1

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Answers (2)
  1. 5 November, 03:57
    0
    It factors to (x - 1) (x - 1)

    the zeroes are ix = 1. Duplicity 2.
  2. 5 November, 04:00
    0
    If the polynomial is of the form x^2+bx+c (ie., no factor in front of the x^2!) then you can look for numbers that add up to b and multiply to c.

    So in this case: what two numbers, when added, give - 2 and when multiplied, give 1? A little trial and error gives you - 1 and - 1.

    So the factorization is (x-1) (x-1). This is zero for x=1. There is only one zero.
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