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 :

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

how do our law enforcement personnel serve, protect, and keep our communities safe this holiday season?

After hydroxide chemical hair relaxers break disulfide bonds what do they convert them to?

Based on the cartoon, which conclusion can be drawn about colonial concerns toward English policies? A Colonists support an increase in taxation by the British

correct the following sentence using proper grammar: i will going 2 shop too buy icecream

The Missouri Compromise established which as a precedent?

what is computer hardware and list types of computers hardware

Based on the cartoon, which conclusion can be drawn about colonial concerns toward English policies? A Colonists support an increase in taxation by the British

Prepare an extensive Comparison Table of Energy Resources used in India. (Include conventional, non conventional, potential and stock resources)

Choose the correct sentence.a. To get to Sacramento, travel North on Interstate 5. b. To get to Sacramento, travel north on interstate 5. c. To get to Sacrament

20 years ago a top of the line video game console cost $500 if the inflation rate is 5% compounded continuously how much would that same console cost today?