Question

find the g. c. d of the polynominals f(x)
$= { x }^{5} + {2x}^{3} + { x }^{2} + 2 x.g(x) = {x}^{4} + {x}^{3} + {x \:}^{2}$
over the field of modulo 3.​

Answer 1

your answer is:-

Step-by-step explanation:

GCD= Greatest Common Divisor.

x

2

−xy−xy+y

2

=x(x−y)−y(x−y)

=

(x−y)

(x−y)

x

4

−y

4

=

(x−y)

(x+y)(x

2

+y

2

)

GCD=

x−y