which of the following is a polynomial with roots 4, -5 and 7?

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02-08-2016
Mathematics

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which of the following is a polynomial with roots 4, -5 and 7?

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nobillionaireNobley nobillionaireNobley · Answer 1 · 2016-08-04T23:10:04+02:00

nobillionaireNobley nobillionaireNobley

04-08-2016

Required polynomial is (x - 4)(x + 5)(x - 7) = (x - 4)(x^2 - 2x - 35) = x(x^2 - 2x - 35) - 4(x^2 - 2x - 35) = (x^3 - 2x^2 - 35x) - (4x^2 - 8x - 140) = x^3 - 2x^2 - 35x - 4x^2 + 8x + 140 = x^3 - 6x^2 - 27x + 140

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