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

The statement “Prime numbers are not divisible by 2” has a counterexample true or false
X°,Y° and Z° are three angles lying on a straight line.If X°=2y° and Z°=3y°,find he value of y
What is the equation of the line perpendicular to y=3x+2 that passes through the point (0, 2)?
What explicit formula matches the arithmetic sequence -2, 1, 4, 7, 10, ...?
Calculate the molality of a 24.4% (by mass) aqueous solution of phosphoric acid (h3po4).
When should you first call for additional help after you've been called to attend a birth and you're the only healthcare provider responsible for the management
What is the missing expression? x^8 + 3x^5 =^5(_____)
Which type of volcano forms when eruptions contain mostly dush ashes and cinders?
I want to add 16 mph to my fastball so I can enter major league baseball right out of high school. What change would make this statement a more powerful goal?
You have used the Distributive Property to transform numerical expressions such as (5)(3) + (2)(3) to (5 + 2)(3). How would you transform 5x + 2x into a single