Question

Is f(x)=x^5+√6 x^4+2x^2-(3/2)x irreducible in R[x], why or why not? Is g(x)=x^3+x+1 irreducible in Z5[x] why...

Is f(x)=x^5+√6 x^4+2x^2-(3/2)x irreducible in R[x], why or why not?

Is g(x)=x^3+x+1 irreducible in Z5[x] why or why not?

Math   Advanced-Math   
0 0
Add a commentTranscribed image text
Next >

Homework Answers

Answer #1

0 0
Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Log In

Sign Up

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Q7) Factorise the polynomial f(x) = x3 − 2x2 + 2x − 1 into irreducible polynomials...
Q7) Factorise the polynomial f(x) = x3 − 2x2 + 2x − 1 into irreducible polynomials in Z5[x], i.e. represent f(x) as a product of irreducible polynomials in Z5[x]. Demonstrate that the polynomials you obtained are irreducible. I think i manged to factorise this polynomial. I found a factor to be 1 so i divided the polynomial by (x-1) as its a linear factor. So i get the form (x3 − 2x2 + 2x − 1) = (x2-x+1)*(x-1) which is...
If f(2) = 3, f'(2) = 5, g(2) = 1, and g'(2) = 4, find h'(x)...
If f(2) = 3, f'(2) = 5, g(2) = 1, and g'(2) = 4, find h'(x) and r'(x) if h(x) = 2(f(x))3/2 and r(x) = g(x) + p g(x), and determine the greater value between h'(2) and r'(2).
Differentiate f(x) = (√ x +1)(x(2/5)+3x) f(x) =(5x3+1)/(x2+2x+1) f(x) = -5x(3x-3)4 f(x) = (2x + (x2+x)4)(1/3)
Differentiate f(x) = (√ x +1)(x(2/5)+3x) f(x) =(5x3+1)/(x2+2x+1) f(x) = -5x(3x-3)4 f(x) = (2x + (x2+x)4)(1/3)
6. Letf(x)=2x–7, g(x)=x2-5, andj(x)= 1 2?−1 Find (f ° ?)(x), simplify your answer completely Find (j°g)(-3)
6. Letf(x)=2x–7, g(x)=x2-5, andj(x)= 1 2?−1 Find (f ° ?)(x), simplify your answer completely Find (j°g)(-3)
Verify the quotient rule for each of the following: 1. f(x)=4x^5-4x^4+13x^3-2x^2+7x+6/x^2-x+2 2.  f(x)=20x^8-28x^6+29x^4-35x^2+5/5x^4-7x^2+1
Verify the quotient rule for each of the following: 1. f(x)=4x^5-4x^4+13x^3-2x^2+7x+6/x^2-x+2 2.  f(x)=20x^8-28x^6+29x^4-35x^2+5/5x^4-7x^2+1
Are the following polynomials irreducible over Q? Prove why or why not. (a) 2x^13−25x^3+ 10x−30 (b)...
Are the following polynomials irreducible over Q? Prove why or why not. (a) 2x^13−25x^3+ 10x−30 (b) 5x^3+ 6x^2−9x+ 21 (c) x^4+ 7x^3+ 14 (d) x^5+ 18x + 6
Given x^5 + x^2 + 1 is irreducible over F2, let F32 = F2[X]/(X^5 + X^2...
Given x^5 + x^2 + 1 is irreducible over F2, let F32 = F2[X]/(X^5 + X^2 + 1) with f = [X]. Please represent any element g where g = a4*f^4 + a3*f^3 + a2*f^2 + a1*f + a0 1. If g1 = f^4 + f^2 and g2 = f^2 + f + 1, compute g1*g2 2. Compute f^11 3. Is the polynomial x5 + x2 + 1 primitive? Please explain your answer
1. Let f(x)=−x^2+13x+4 a.Find the derivative f '(x) b. Find f '(−3) 2. Let f(x)=2x^2−4x+7/5x^2+5x−9, evaluate...
1. Let f(x)=−x^2+13x+4 a.Find the derivative f '(x) b. Find f '(−3) 2. Let f(x)=2x^2−4x+7/5x^2+5x−9, evaluate f '(x) at x=3 rounded to 2 decimal places. f '(3)= 3. Let f(x)=(x^3+4x+2)(160−5x) find f ′(x). f '(x)= 4. Find the derivative of the function f(x)=√x−5/x^4 f '(x)= 5. Find the derivative of the function f(x)=2x−5/3x−3 f '(x)= 6. Find the derivative of the function g(x)=(x^4−5x^2+5x+4)(x^3−4x^2−1). You do not have to simplify your answer. g '(x)= 7. Let f(x)=(−x^2+x+3)^5 a. Find the derivative....
For each of the following bijections f: R→R, find f^-1. a. f(x)= 2x b. f(x)= x^3...
For each of the following bijections f: R→R, find f^-1. a. f(x)= 2x b. f(x)= x^3 c. f(x)= (x+4) /3
3. (50) Let f(x) = x^4 + 2. Find a factorization of f(x) into irreducible polynomials...
3. (50) Let f(x) = x^4 + 2. Find a factorization of f(x) into irreducible polynomials in each of the following rings, justifying your answers briefly: (i) Z3 [x]; (ii) Q[x] (this can be done easily using an appropriate theorem); (iii) R[x] (hints: you may find it helpful to write γ = 2^(1/4), the positive real fourth root of 2, and to consider factors of the form x^2 + a*x + 2^(1/2); (iv) C[x] (you may leave your answer in...
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT