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Quiz 1
Solution
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
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