Question 1127246: Find all the zeros (real and complex) of f(x)= 2x^5-11x^4+19x^3-17x^2+17x-6. The final answer has to be in factored form.
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! Find all the zeros (real and complex) of f(x)= 2x^5-11x^4+19x^3-17x^2+17x-6. The final answer has to be in factored form.
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Graph with a calculator to see the Real roots.
x = 0.5; x = 2 ; x = 3
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So, f(x) = (2x-1)(x-2)(x-3)*(a quadratic with imaginary roots)
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Divide f(x) by (2x-1)(x-2)(x-3) to find the quadratic.
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Use the quadratic formula to find the imaginary roots of the quadratic.
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Cheers,
Stan H.
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