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

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 maximum number of x-intercepts that the cubic function f(x) = x^3 can have?

What are the main characteristics of the tangent function f(x) = tan x?

Question: How can the distributive property be used to simplify the expression 3(4x - 5) - 2(2x + 7) + 3x?

New questions in Mathematics

2+2

The random variable Y is defined as the sum between two different integers selected at random between -4 and 2 (both included). What are the possible values of the random variable Y? What is the value of P(Y=-3)? And whether it is less than or equal to -5?

Solve the math problem 400 students are asked if they live in an apartment and have a pet: Apartment: 120 Both: 30 Pet: 90 The probability that a randomly selected student not living in an apartment has a pet is

Margin of error E=0.30 populations standard deviation =2.5. Population means with 95% confidence. What I the required sample size (round up to the whole number)

Divide 22 by 5 solve it by array and an area model

(2b) to the 1/4th power. Write the expression in radical form.

Solve this mathematical problem if 3/5 of a roll of tape measures 2m. How long is the complete roll? Draw the diagram

A construction company is working on two projects: house construction and building construction. Each house requires 4 weeks of work and produces a profit of $50,000. Each building requires 8 weeks of work and produces a profit of $100,000. The company has a total of 24 work weeks available. Furthermore, it is known that at least 2 houses and at least 1 building must be built to meet the demand. The company wants to maximize its profits and needs to determine how many houses and buildings it should build to meet demand and maximize profits, given time and demand constraints.

A force of 750 pounds compresses a spring 3 inches from its natural length, which is 15 inches. What will be the work done to compress it 3 inches more?

4x/2+5x-3/6=7/8-1/4-x

In a grocery store, when you take out 3 peppers and 4 carrots, there are 26 peppers and 46 carrots left. How many peppers and carrots were there initially?

Raúl, Gilberto and Arturo are playing golf; The probabilities of winning for each one are as follows: (Raúl wins) = 20% (Gilberto wins) = 0.05% (Arturo wins) = ¾%. Perform operations and order events from least to most probable.

There are 3 orchards, a, b and c. Orchard a has 60 fewer trees than orchard b orchard c has 3 times as many trees as orchard b. If the three orchards have 430 trees altogether, how many trees does orchard c have?

2)A tourist has 15 pairs of pants in his hotel room closet. Suppose 5 are blue and the rest are black. The tourist leaves his room twice a day. He takes a pair of pants and puts them on, the tourist leaves the first pair of pants in the closet again and takes another one and puts them on. What is the probability that the two pants chosen are black?

A building lot is in the shape of a triangle with a base of 133 feet and a height of 76 feet. What is it's area in square feet?

find missing measure for triangle area = 48 m square base = 10m heaighy = ? m

solve R the following equation 4 x squared - 35 - 9 over x squared is equal to 0

the product of a 2-digit number and a 3-digit number is about 50000, what are these numbers

What js the greatest 4-digit even number that can be formed by 3,6,1,4?

A rectangular swimming pool has a length of 14 feet, a width of 26 feet and a depth of 5 feet. Round answers to the nearest hundredth as needed. (a) How many cubic feet of water can the pool hold? cubic feet (b) The manufacturer suggests filling the pool to 95% capacity. How many cubic feet of water is this? cubic feet

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

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

You might be interested in