
Ariana R.
asked 12/08/23Find a degree 3 polynomial with real coefficients having zeros 3 and 2-2i and a lead coefficient of 1. Write P in expanded form. Be sure to write the full equation, including P(x)
Find a degree 3 polynomial with real coefficients having zeros 3 and 2-2i and a lead coefficient of 1. Write P in expanded form. Be sure to write the full equation, including P(x)
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1 Expert Answer
Raymond B. answered 12/09/23
Tutor
5
(2)
Math, microeconomics or criminal justice
x=2-2i
x-2=2i
x^2-4x+4=-4
x^2-4x+8=0
P(x) = (x-2)(x^2-4x+8)
= x^3-6x^2+16x -16
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Doug C.
Hi Ariana, you posted an almost identical problem a day ago, and that question has been answered. Maybe you did not get a chance to look over that answer? wyzant.com/resources/answers/937918/find-a-degree-3-polynomial-with-real-coefficients-having-zeros-2-and-4-4i-a12/08/23