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

A rock's mass is a: A. all of the above B. chemical property C. physical property D. constant property
For this activity, you will write one paragraph explaining whether you agree with the provisions of the Wade-Davis Bill. Use evidence to support your reasoning.
X=3G/2 rearrange to make g the subject
The store receipt was sufficient to Choose... any doubt about how much the item cost.
The engineer of a passenger train traveling at 25.0m/s sights a freight train whose caboose is 200m ahead on the same track. The freight train is traveling at 1
Freeeeeeeeeeeeee points for my gangs 4x4
2/5-1/4 simplified please help will make brainliest ​
Please make it quick
I really need some help with these 2 things please Write all five preterite tense forms of the following verbs: Querer decir Yo ___ ___ ___ Tu ___ ___ ___
algebra 1 HELP!!!!!!!!