Scott O.

asked • 09/18/19

Find all the zeroes for f(x) = x 4 + 2x 3 − 4x 2 − 5x − 6, using the information given by the graph. Write complex zeroes in the form a + bi.

1 Expert Answer

By:

Scott O.

Can you show the steps? I don't understand
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09/18/19

Mark J.

tutor
It says to use information given by the graph. When I graphed it, I saw the real roots of -3 and +2. Knowing that I divided the polynominal by x-2 to get (x-2)(x^3+4x^2+4x+3) and then divided the latter polynominal by x+3 to get (x-2)(x+3)(x^2+x+1). Then using the quadratic equation for x^2+x+1 to find the complex roots. You do not get complex roots from a graph.... you have to find them knowing that complex roots come in pairs.
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09/18/19

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