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 was the main point of Truman doctrine ?
antonia and carla have an equivalant percentage of green marbles in their bags of marbles. antonia has 4 green marbles and 16 total matbles. if carla has 10 gre
( please help !! ) At a farm, animals are fed bales of hay and buckets of gain.Each bale of hay is in the shape of a rectangular prism.The base side lengths 2
One card is dealt from a 52 card deck. Find the probability that the dealt card is a 4 or a black 7
Why did christianity form? 30 points
PLEASE HELP ASAP 25 PTS + BRAINLIEST TO RIGHT/BEST ANSWER
Why do the soldiers board the grounded boat
What’s the area of the shape?
A software program that includes tools for entering, editing, and formatting text and graphics is called a word processing program. True or false?
For an experiment, a penny is tossed. At the same time, a spinner with 8 congruent sections numbered 1–8 is spun. How many possible outcomes are there for the e