isacmartinez163 isacmartinez163

22-10-2020
Mathematics

contestada

Which of the following is a root of the polynomial function below?
F(x) = x^3+3x^2 + 4x+12
A. 3
B. 2
C. i
D. -2i

Respuesta :

sarengradac sarengradac

22-10-2020

Answer:

[tex] - 2i[/tex]

Step-by-step explanation:

[tex]f(x) = { \times }^{3} + 3 {x}^{2} + 4x + 12 \\ = ( {x}^{3} + 3x^{2}) +(4x + 12) = \\ {x}^{2} (x + 3) + 4(x + 3) = \\ ( {x}^{2} + 4)(x + 3) [/tex]

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