Question

1. Find the GCD of the given polynomials
(i x4 + 3x2- x-3, x3+ x2 - 5x + 3​

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.