Question

find the gcd of x^4+x^3+2x^2+x+1 and x^3-1 over Q

Answer 1

Answer:

Let f(x)=x

4

+3x

3

−x−3 and g(x)=x

3

+x

2

−5x+3

Here degree of f(x) > degree of g(x).

∴ Divisor is x

3

+x

2

−5x+3

Therefore, GCD (f(x),g(x))=x

2

+2x−3.

solution