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Since (x-5) is a factor, we can use synthetic division with x=5 to divide the polynomial x³ - 4x² - 11x + 30.

Mathematics

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3. If (x−5)(x-5) is a factor of x3−4x2−11x+30x^3 - 4x^2 - 11x + 30, find the remaining factors.

  1. Since (x−5)(x-5) is a factor, we can use synthetic division with x=5x=5 to divide the polynomial x3−4x2−11x+30x^3 - 4x^2 - 11x + 30.

    5 | 1  -4  -11   30
      |    5    5  -30
      -----------------
        1   1   -6    0
    

    The quotient is x2+x−6x^2 + x - 6.

  2. Factor

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