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)

Math question: "Given log base 10 of x = 3 and log base 10 of y = 2, find the value of log base 10 of (x^2 ∙ y^3)."

What is the area of a circle with a diameter of 6 cm?

Q: In triangle ABC, if angle A is congruent to angle B and side AB is congruent to side AC, prove triangle ABC is isosceles using the rules for congruence of triangles.

New questions in Mathematics

a to the power of 2 minus 16 over a plus 4, what is the result?

Let f(x)=||x|−6|+|15−|x|| . Then f(6)+f(15) is equal to:

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?

*Question!!* *Victory saved 3,000 in first bank and 2,000 Naira in union bank PSC with interest rate of X% and Y% per annual respectively his total interest in one year is #640. If she has saved 2,000 naira with first bank and 3,000 naira in union bank for same period she would have made extra 20# as additional interest, then find the value of X and Y

Additionally, the boss asked Armando to determine how many toy sales branches he would have in the fifteenth year, knowing that the first year they started with two branches, by the second they already had 5 branches and, by the third year, they had 8 branches. From the above, determine the number of branches it will have for the fifteenth year.

(6.2x10^3)(3x10^-6)

The director of a company must transfer 6 people from the human resources department to the sales department, in order to sustain sales during the month of December. What is the probability that he will transfer only 2 of them?

Answer the following questions regarding the expression below. 0.1 (a) Write the number as a fraction.

Nice's central library building is considered one of the most original in the world, as it is a mix between a sculpture and a work of habitable architecture. It was called La Tête Carrée and is made up of part of a bust that supports a cube divided into five floors. It is known that the building has a total height of approximately 30 meters. It admits that the cubic part of the sculpture is parallel to the floor and has a volume of 2744 meters3 Calculate, in meters, the height of the bust that supports the cube. Displays all the calculations you made.

Show this compound proposition to be true or false. Paris is the capital of England or Rome is the capital of Italy

A cell phone company offers two calling plans. Plan A: $20 per month plus 5 cents for each minute, or Plan B: $30 per month plus 3 cents for each minute. [2] Write an equation to describe the monthly cost (a) C (in $) in terms of the time m (in minutes) of phone calls when Plan A is applied.