question on irreducible polynomials Watch

beast
Badges: 0
Rep:
?
#1
Report Thread starter 12 years ago
#1
Hello there,
given that the field, F = 2/2Z (Z denotes the integers)

show that the polynomial x^2 + x + [1] is irreducible.

How do I do this??? A polynomial is irreducible if it factors into two polynomials, with one of them a constant polynomial. But how do I factor the given polynomia in this way?

ANy help would be much appreciated!!

Thank you for your time!
0
reply
dvs
Badges: 10
Rep:
?
#2
Report 12 years ago
#2
Suppose it's reducible. This implies it's equal to:
(x - [b])(x - [d])

Can you see why that's impossible?
0
reply
beast
Badges: 0
Rep:
?
#3
Report Thread starter 12 years ago
#3
ahh yes,

cheers bud .
0
reply
X

Quick Reply

Attached files
Write a reply...
Reply
new posts
Latest
My Feed

See more of what you like on
The Student Room

You can personalise what you see on TSR. Tell us a little about yourself to get started.

Personalise

University open days

  • University of the West of England, Bristol
    Undergraduate Open Afternoon - Frenchay Campus Undergraduate
    Wed, 23 Jan '19
  • University of East London
    Postgraduate Open Evening Postgraduate
    Wed, 23 Jan '19
  • University of Gloucestershire
    School of Education Open Day Postgraduate
    Wed, 23 Jan '19

Brexit: Given the chance now, would you vote leave or remain?

Remain (1460)
79.61%
Leave (374)
20.39%

Watched Threads

View All
Latest
My Feed