ShadowShu9118 ShadowShu9118
  • 02-12-2017
  • Mathematics
contestada

Find the general form of all real polynomials of least degree which have zeros 2 + i and -1 + 3i

Respuesta :

Rod44 Rod44
  • 02-12-2017
The coefficients must be real so each complex root must have a conjugate: 2-i and -1-3i.
The factorisation is (x-2-i)(x-2+i)(x+1-3i)(x+1+3i)=(x²-4x+5)(x²+2x+10).
Expanded this is:
x⁴+2x³+10x²
-4x³-8x²-40x
+5x²+10x+50=

x⁴-2x³+7x²-30x+50.
Answer Link

Otras preguntas

According to the author, what is the relationship between service in the American military and the American dream
Which are true? Choose all that apply. Group of answer choices Homeostasis is the maintenance of chemical equilibrium in living things. At chemical equilibri
Harper's parents put $75 into her school lunch money account. Each meal she gets from school costs her $3.25. The school sends Harper's parent's an email when t
radicales alquilo 2-etil-5-metil-6-propil-8-isopropil-2-octano​
In a class of 49,the ratio of the number of students who passed to the number of students who failed is 2:5,find the number of students who passed
3 differences between capillaries and arteries
Does anyone have a representation of the Pytagorean theorem
Área de este poligano por favor
For which equation is x = 2 a solution? A. 5x − 4 = 11 B. 4x − 7 = 13 C. 3x + 1 = 7 D. 2x + 1 = 9
7+a y 7+b area y perimetro