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Find the roots of the polynomial equation.
x^3-x^2+x+39=0

User DrDonut
by
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1 Answer

7 votes

Answer:

-3, 2+3i, and 2-3i.

Explanation:

To find the roots of x^3-x^2+x+39=0, we use the Rational Root Theorem and synthetic division to test possible rational roots. We find that -3 is a root, and divide by (x+3) to get the quadratic factor x^2-4x+13=0. Solving this using the quadratic formula gives us the remaining roots of 2+3i and 2-3i. Therefore, the roots of the equation are -3, 2+3i, and 2-3i.

User Yauhen
by
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