How many complex roots exist for the polynomial in this equation F (X) = x3+4x2-16 A. 1 real root and 2 complex roots B. 2 real and 1 complex root C. 0 real roots and 3 complex roots D. 3 real roots and 0 complex roots

Question

Kadyn Heath

Mathematics

26 April, 11:36

How many complex roots exist for the polynomial in this equation F (X) = x3+4x2-16 A. 1 real root and 2 complex roots B. 2 real and 1 complex root C. 0 real roots and 3 complex roots D. 3 real roots and 0 complex roots

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Answers (1)

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Paul Duncan · Answer 1

A. 1 real root and 2 complex roots

Step-by-step explanation:

The one sign change among the coefficients tells you there is one positive real root. The rule of signs is inconclusive regarding the number of negative real roots. A graph shows there are none, so there are ...

1 real root and 2 complex roots