Question

find the GCD of the given polynomial x'⁴+ 3x^3 -x-3 , x^3+x^2-5x+3

Answer 1

Step-by-step explanation:

Let f(x)=x4+3x3−x−3 and g(x)=x3+x2−5x+3

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

∴ Divisor is x3+x2−5x+3

Therefore, GCD (f(x),g(x))=x2+2x−3.