Q.1
If f(x)=x7+x5+x4+x3+x+1 and g(x)=x3+x+find f(x) x g(x).
  • a) x12+x5+x3+x2+x+1
  • b) x10+x4+1
  • c) x10+x4+x+1
  • d) x7+x5+x+1
Q.2
If f(x)=x7+x5+x4+x3+x+1 and g(x)=x3+x+find the quotient of f(x) / g(x).
  • a) x4+x3+1
  • b) x4+1
  • c) x5+x3+x+1
  • d) x3+x2
Q.3
Primitive Polynomial is also called a ____
  • a) ii) and iii)
  • b) only iii)
  • c) iv) and ii)
  • d) None
Q.4
Which of the following are irreducible polynomials?
  • a) i) and ii)
  • b) only iv)
  • c) ii) iii) and iv)
  • d) All of the options
Q.5
The polynomial f(x)=x3+x+1 is a reducible.
  • a) True
  • b) False
Q.6
Find the HCF/GCD of x6+x5+x4+x3+x2+x+1 and x4+x2+x+1.
  • a) x4+x3+x2+1
  • b) x3+x2+1
  • c) x2+1
  • d) x3+x2+1
Q.7
On multiplying (x5 + x2 + x) by (x7 + x4 + x3 + x2 + x) in GF(with irreducible polynomial (x8 + x4 + x3 + x +we get
  • a) x12+x7+x2
  • b) x5+x3+x3
  • c) x5+x3+x2+x
  • d) x5+x3+x2+x+1
Q.8
On multiplying (x6+x4+x2+x+by (x7+x+in GF(with irreducible polynomial (x8 + x4 + x3 + x +we get
  • a) x7+x6+ x3+x2+1
  • b) x6+x5+ x2+x+1
  • c) x7+x6+1
  • d) x7+x6+x+1
Q.9
Find the inverse of (x2 +modulo (x4 + x + 1).
  • a) x4+ x3+x+1
  • b) x3+x+1
  • c) x3+ x2+x
  • d) x2+x
Q.10
Find the inverse of (xmodulo (x8+x4 +xx + 1).
  • a) x5+ x4+ x3+x+1
  • b) x5+ x4+ x3
  • c) x5+ x4+ x3+1
  • d) x4+ x3+x+1
0 h : 0 m : 1 s