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
102 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 derivative of f(x) = sin^2(x) + cos^2(x)?
+
Question: In a triangle with side lengths 8cm, 10cm, and x cm, where x is an integer, what is the possible range of values for x?
+
What is the variance of a dataset containing the values 2, 4, 6, 8, and 10?
+
New questions in Mathematics
Since one of the three integers whose product is (-60) is (+4), write the values that two integers can take.
Express the following numbers in decimal system, where the subscript indicates the base: 110101 (SUBINDEX=2)
You are planning to buy a car worth $20,000. Which of the two deals described below would you choose, both with a 48-month term? (NB: estimate the monthly payment of each offer). i) the dealer offers to take 10% off the price, then lend you the balance at an annual percentage rate (APR) of 9%, monthly compounding. ii) the dealer offers to lend you $20,000 (i.e., no discount) at an APR of 3%, monthly compounding.
Mrs. Emily saved RM10000 in a bank. At the end of the eighth year, the amount of money accumulated amounted to RM19992.71. If the bank pays an annual interest of x% for a year compounded every 6 months. Calculate the value of x.
If you randomly selected one person from the 900 subjects in this study, what is the probability that the person exhibits the minimum BMI?
Emma is on a 50 m high bridge and sees two boats anchored below. From her position, boat A has a bearing of 230° and boat B has a bearing of 120°. Emma estimates the angles of depression to be about 38° for boat A and 35° for boat B. How far apart are the boats to the nearest meter?
v Is the following statement a biconditional? If Shannon is watching a Tigers game, then it is on television.
In the telephone exchange of a certain university, calls come in at a rate of 5 every 2 minutes. Assuming a Poisson distribution, the average number of calls per second is: a) 1/8 b) 1/12 c) 1/10 d) 2/5 e) 1/24
Convert 9/13 to a percent
Subjects are randomly assigned to one of three specialties for a 3-month rotation, and at the end of that rotation, they are given a test that measures moral development. The scores are listed below, where a high score represents high moral development and a low score represents low moral development. Orthopedics Pediatrics Oncology 77 63 54 84 93 97 66 97 76 44 76 65 59 45 91 40 88 68 28 74 54 M = 56.86 M = 76.57 M = 72.14 What is Nt?
ind the z-score for which 72% of the distribution's area lies between -z and z. -1.7417, 1.7417 -1.1538, 1.1538 -1.0803, 1.0803 -2.826, 2.826
Determine a general formula​ (or formulas) for the solution to the following equation.​ Then, determine the specific solutions​ (if any) on the interval [0,2π). cos30=0
A tree cast a shadow of 26 meters when the angle of evaluation of the sum is 24°. Find the height of the tree to the nearest meter
Find the number of pounds of nails required for 17850 square feet of drywall if each thousand square feet requires 4.5 pounds of nails.
Kaya deposits 25,000 into an account that earns 3% interest compounded monthly. How much does Kaya have in the account after 6 years 8 months? Round to the nearest cent. 32,912.50 30,000 29,923.71 30,527.45
a) 6x − 5 > x + 20
The mean of 4 numbers is 5 and the mean of 3 different numbers is 12. What is the mean of the 7 numbers together? Produce an algebraic solution. Guess and check is acceptable.
simplify w+[6+(-5)]
Find the orthogonal projection of a point A = (1, 2, -1) onto a line passing through the points Pi = (0, 1, 1) and P2 = (1, 2, 3).
In a cheese factory, one pie costs 3800 denars. The fixed ones costs are 1,200,000 denars, and variable costs are 2,500 denars per pie. To encounter: a) income functions. profit and costs; b) the break-even point and profit and loss intervals.