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Algebra 2

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Given that the polynomial has the given root, find all roots of the polynomial.

P(x) = x^4 - 5x^3 + 7x^2 - 5x + 6; -i

  • Algebra 2 -

    well, if one root is -i, it has another root +i, as complex roots will appear in conjugates. (x+i)(x-i)=(x^2+1) is a factor. So, divide that into the polynomial....



    so the roots are i, -i, 3,2

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