Find the function p defined by a polynomial of degree 3 with real coefficients that satisfy the given condition. two of the zeros are 4 and 1+i

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Mathematics

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2 December, 13:55

Find the function p defined by a polynomial of degree 3 with real coefficients that satisfy the given condition. two of the zeros are 4 and 1+i

+3

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Paloma Odom · Answer 1

The third zero is 1 - i These two complex numbers always come in pairs. If you have one, you always have the other.

y = (x - 4) (x - i) (x + i)

y = (x - 4) (x^2 + 1)

y = x^3 - 4x^2 + x - 4