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

Tulips can be reproduced asexually from bulbs or be grown from seeds, though starting from seed takes 7 to 10 years to cultivate a mature plant and bulbs. How d

write an assignment with the question explain why the methods used to teach learners in african indigenous can still be by teachers today History and philosophy

What did the policy of internment reveal about the United States? What were the impacts of internment on Japanese Americans in the years and decades following t

A company had $6,992,000 in net income for the year. Its net sales were $15,200,000 for the same period. Calculate its profit margin.

Given question is in attachment

Solve these 2 equations 1. -3 (4x-10) 2. 3(2+q)-15

the warning on the medicine bottle stated, 'If taken in excess, the medication _______ lead to adverse effects.'

Pinunong militar ng mga sumerian

10. How many square pieces whose sides are 5 cm will be required to fit in a rectangular board of length is 30 cm and breadth is 15 cm?

WILL GIVE BRAINLIEST IF ANSWERED FAST!!!