emmy83 emmy83
  • 01-12-2017
  • Mathematics
contestada

Find a polynomial of degree 2 with real number coefficients and zero 3-2i

Respuesta :

Аноним Аноним
  • 01-12-2017
Complex roots occur as conjugates so the other root is 3 + 2i

so we have  the factored form 

(x - (3 - 2i)(x - (3 + 2i)

= (x - 3 + 2i)(x - 3 - 2i)

= x^2 -3x - 2ix - 3x + 9 + 6i + 2ix - 6i- 4i^2

=  x^2 -6x + 9 + 4

= x^2 - 6x + 13   Answer
Answer Link

Otras preguntas

How many significant figures does the number 83.400 have?
A tank in the shape of a rectangular prism measures 5 decimeters by 2 decimeters by 23 decimeters. The tank is completely filled with 8314.5 liters of liquid. W
What was a criticism or the USA patriot act
Someone please help me with number 5. I really don't understand this.
When bits of wood or other materials are set into the surface of wood furniture, the result is known as A. ormolu. B. lacquering. C. gilding.
Evaluate f(x)=-2x-4 for x=3
The minute hand of a clock is 7 inches what distance does the tip of the minute hand move in 25 minutes
Even though it was not mention directly in the constitution, which of the follow was establishing under Washington A. A presidential cabinet B. Authority to vet
A basketball gymnasium is shaped like a rectangular prism. Which units are the most reasonable to use when measuring the volume of the gymnasium? Choose
simplify in exponential notation 2(a)(b)(a)(b)