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Find a polynomial f(x) of degree 4 with real coefficients. 2 (mutliplicity 2), -i
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The roots are 2, 2, -i, and i. (x-2)(x-2)(x+i)(x-i) = ?
Multiply it out.
ok thanks
f(x) = x^4 - 4x^3 + 5x^2 - 4x + 4 Check the graph. http://www.wolframalpha.com/input/?i=%28x-2%29%28x-2%29%28x%2Bi%29%28x-i%29+%3D
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