Determine the minimum degree that an algebraic equation can assume knowing that it admits 2 as a double root and -i as a triple root

Name: Solved: Determine the minimum degree that an algebraic equation can assume knowing that it admits 2 as a double root and -i as a triple root - MathMaster
Brand: MathMaster
Rating: 4.9 (227 reviews)

227

likes

1135 views

Answer to a math question Determine the minimum degree that an algebraic equation can assume knowing that it admits 2 as a double root and -i as a triple root

$Expert avatar$

Rasheed

4.7

110 Answers

Since -i is a triple root, this function should also have i as triple root as complex roots always occur in conjugate pairs. Moreover 2 is a double root of the equation. Therefore, the min. degree possible is 2+3+3 = 8

Frequently asked questions (FAQs)

What is the integral of ∫(ax^n) dx, where a and n are constants?

Question: In a right triangle with an angle 𝛳, if the opposite side is 5 and the hypotenuse is 13, what is the sine of 𝛳?

Math question: Factor the expression x^2 + 4x + 4.

New questions in Mathematics

If we have the sequence: 3, 6, 12, 24 Please determine the 14th term.

What is the amount of interest of 75,000 at 3.45% per year, at the end of 12 years and 6 months?

A book is between 400 and 450 pages. If we count them 2 at a time there is none left over, if we count them 5 at a time there is none left over and if we count them 7 at a time there are none left over, how many pages does the book have?

The Lenovo company manufactures laptop computers, it is known that for every 60 laptops produced, 54 go on the market with the highest quality standards. If a sample of 15 laptops is taken, calculate the probability that: Exactly 2 are not of high quality

[(36,000,000)(0.000003)^2]divided(0.00000006)

To make brine, José buys 1 kg of salt and pays 12 pesos. If he buys 4 kg, they charge him 48 pesos, but for 100 pesos they sell him 9 kg. What is the constant of proportionality?

How many different ways can a psychology student select 5 subjects from a pool of 20 subjects and assign each one to a different experiment?