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 product of the mixed number 2 3/4, the prime factors of 48, and the real numbers 2.5 and 3.2?

What is the derivative of f(x) = 3x^2 - 6x + 2?

Math question: Find the amplitude of the sine function f(x) = sin(x).Answer: The amplitude of the sine function f(x) = sin(x) is 1, as the maximum value of sin(x) is 1, and the minimum value is -1. Thus, the difference between the maximum and minimum values, which represents the amplitude, is 1. Using the

New questions in Mathematics

How to find the value of x and y which satisfy both equations x-2y=24 and 8x-y=117

The strength of Kefexin oral suspension is 100 mg/ml. Nora has been prescribed cefalexin at a dose of 50 mg/kg/day divided in two single doses. Nora weighs 14 kg. How many milliliters of solution for Nora should be given as a single dose?

5/8 x 64

The gross domestic product the gdp for the United States in 2017 was approximately $2.05x10^3. If you wrote this number in standard notation , it would be 205 followed by how many zeros

Imagine that you are in an electronics store and you want to calculate the final price of a product after applying a discount. The product you are interested in has an original price of $1000 MN, but, for today, the store offers a 25% discount on all its products. Develop an algorithm that allows you to calculate the final price you will pay, but first point out the elements.

7273736363-8

224 × (6÷8)

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

By direct proof, how can you prove that “The sum of any three consecutive even integers is always a multiple of 6”.

Subscribers to the FAME magazine revealed the following preferences for three categories: Fashion 30, Athletics 24 and Business 15. Following these frequencies of observation, compute the chi-square test statistic. At the 0.05 level of significance, would you conclude they are similar?

Three squares have a total area of 35.25 𝑐𝑚2 . The larger square has twice the side-length of the middle-sized square. The smaller square has its side length exactly 0.5 cm smaller than the middle-sixed square. Find the side lengths of each of the three squares.