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

What is the slope of (-8,1) (6,8)
opinion writing about parents pick out the child clothes​
Keri earns $48 every 3 hours. Write an equation for the proportional relationship where t is the time in hours and y is the earnings. Enter the correct equation
No separation via recrystallization can ever be achieved between two solid substances that have the same solubility in all solvents at all temperatures. a) Tru
what would the awnser be for f(15)=?
Explain the relationship between risk and return as it applies to investments
Evaluate the expression for c = –1. c2 − 28c + 9 = Evaluate the expression for c = –1. c2 − 28c + 9 =
23.4 is what percent of 288? Round to the nearest tenth.
Solve by using substitution. Express your answer as an ordered pair. {x−6y=−4. x=2y+4
If an infinite line of current located on the z-axis has a cylindrically symmetric H field of H0a (a is the unit vector in the direction) at r = a, find: a. H a