SOLUTION: Find a polynomial f(x) of degree 3 with real coefficients and the following zeros 1, 3-i.
f(x)=________
I need help please, and thanks so much!! :)
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-> SOLUTION: Find a polynomial f(x) of degree 3 with real coefficients and the following zeros 1, 3-i.
f(x)=________
I need help please, and thanks so much!! :)
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Question 674240: Find a polynomial f(x) of degree 3 with real coefficients and the following zeros 1, 3-i.
f(x)=________
I need help please, and thanks so much!! :) Answer by ewatrrr(24785) (Show Source):
Hi,
The factor theorem states that a polynomial f(x) has a factor (x − k) if and only if f(k) = 0
zeroes 1, 3-i (and 3+i)
f(x) = (x-1)(x-(3-i))(x-(3+i) = (x-1)(x^2 - 6x + 10) = x^3-7x^2 +16x - 10
