Review question

When is $x^2 +1$ a factor of $(3+x^4)^n-(x^2+3)^n(x^2-1)^n$? Add to your resource collection Remove from your resource collection Add notes to this resource View your notes for this resource

Ref: R7243

Question

Let $n$ be a positive integer. Then $x^2 +1$ is a factor of

$(3+x^4)^n-(x^2+3)^n(x^2-1)^n$

for

1. all $n$;

2. even $n$;

3. odd $n$;

4. $n \geq 3$;

5. no values of $n$.