Answer with clear explanation. Find the irreducible factors of x6 − 1 over R. b. Find...

Answer with clear explanation.

Find the irreducible factors of x⁶ − 1 over R.

b. Find all monic irreducible polynomials of degree ≤ 3 over Z₃.

c. Find a polynomial q(x) such that (x² + 2x + 1)q(x) ∼= 1(mod x³ + x 2 + 1) over Z₃.

Expert Solution

Colby Messinger answered 2 years ago

g(x) = x6 − bx4 + c i. For positive values of b, answer the following:...

g(x) = x6 − bx4 + c i. For positive values of b, answer the following: (a) How many inflection points does g(x) have? (a) How many inflection points does g(x) have? (b) How does increasing the value of a affect the shape of the graph and the position of the inflection points? Illustrate by sketching 3 well-chosen family members, indicating the value of b for each. iiii. For negative values of b, answer the following: (a) How many inflection...

Please, I need a correct answer and clear explanation. Thank you, Part I – Explanation Q1...

Please, I need a correct answer and clear explanation. Thank you, Part I – Explanation Q1 Below are pairs of changes that affect elements of the accounting equation. Give an example of a transaction or economic event that reflects each: a. Asset increases, asset decreases b. Asset increases, liability increases c. Asset increases, shareholders’ equity increases d. Asset increases, revenue increases e. Liability decreases, asset decreases f. Asset decreases, expense increases g. Liability decreases, revenue increases h. Asset decreases, shareholders’...

Solve each item supporting your answer with clear explanation. 1.Consider the following augmented matrix of a...

Solve each item supporting your answer with clear explanation. 1.Consider the following augmented matrix of a system of linear equations. ( 7 −3 4 6 −3 2 6 2 2 5 3 −5 ) a. Solve the system with the Jacobi method. First rearrange to make it diagonally dominant if possible. Use [0,0,0] as the starting vector. Find the condition number of the matrix of coefficients κ∞(A), and compute how many iterations are required to get the solution accurate to...

Answer correctly supporting with clear explanation. Classify the set Q( √ 5i) as a ring or...

Answer correctly supporting with clear explanation. Classify the set Q( √ 5i) as a ring or a field. To justify your answer, show that the set satisfies the axioms for ring or field.

1. Find the derivative. f(x) = x6 · 3x 2. Find the absolute maximum and minimum values...

1. Find the derivative. f(x) = x6 · 3x 2. Find the absolute maximum and minimum values on the closed interval [-1,8] for the function below. If a maximum or minimum value does not exist, enter NONE. f(x) = 1 − x2/3 3. Find the derivative. f(x) = x5 · e6x Consider the following. f(x) = -19ln(84x) Compute f '(x), then find the exact value of f ' (3).

Please, I need a correct answer and clear explanation. Thanks! What are the advantages and disadvantages...

Please, I need a correct answer and clear explanation. Thanks! What are the advantages and disadvantages of using the accrual basis of accounting rather than the cash basis?

Question 1: a) What are the complex roots of x^8-1 ? b) What are the irreducible...

Question 1: a) What are the complex roots of x^8-1 ? b) What are the irreducible factors of f(x)=x^8-1 in R[x]? c) What are the irreducible factors of f(x)=x^8-1 in Q[x]?

Please answer all with clear explanation, Thanks. Question 6.In addition to giving information, according to the...

Please answer all with clear explanation, Thanks. Question 6.In addition to giving information, according to the principles of teaching and learning, allnurses should be prepared to (Points : 5) 1. assess learning needs, readiness, and styles. 2. determine whether the information has been received and understood. 3. revise the approach to teaching if the client does not comprehend the information. 4. All of the above Question 8.Which are two ways to decrease a behavior or response? (Points : 5) 1.Avoidance...

Answer the following questions with clear explanation. a. Explain intuitively what does population mean and variance...

Answer the following questions with clear explanation. a. Explain intuitively what does population mean and variance tells you about the distribution of a random variable? b. Can you think of a reason why do we mostly only care about mean and variance a random variable since the distribution function could involve more than the two parameters? c. Explain why we could use a sample data to draw conclusions about a population parameter? d. Is p-value of a hypothesis test a...

Please, I need a correct answer and clear explanation. Thank you, (Determine expenses) The following are...

Please, I need a correct answer and clear explanation. Thank you, (Determine expenses) The following are activities in a three-month period for Basiliadis Company: 1.A new lease for the business premises goes into effect on October 1 and increases the rent from $1,000 to $1,150 per month. The rent for the next month is always prepaid on the last day of the current month. Accordingly, rent of $1,000 was paid on August 31, and $1,150 was paid on September 30...

Question