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 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]

Answer Link

Otras preguntas

how did innovation in industry, travel and communication change the lives of American in the 1800s
Calcium hydroxide reacts with a substance to produce calcium carbonatename the substance
A change of phase never accompanies a. a change in volume b. a change in pressure c. a change in temperature d. a change in density e. a change in structure
How did slaves' family, religion, and other aspects of their culture help them cope with the slave system?
6 people meet for a business lunch. Each person shakes hands once with each other person present. How many handshakes take place?
put the rainfall measurements in order from least to greatest.0.97 meters0.947 meters1.5 meters1.268 meters
Peter and Rosemary Grant a. spent more than 30 years studying Darwin’s tortoises. b. studied the migration of the camel. c. actually observed evolution by natur
solve the problem explain your answer  6/7m = 5/6
Which three ordered pairs complete the table to give solutions of the equation y = –6x?  A.(–2, 12), (0,0), and (2, –12)  B.(–2, 12), (0,–6), and (2, –12)  C.(–
A square tray has an area of 196 square inches. What is the length of one side of the tray?   A.