Question

True or False: Only polynomials with odd-numbered degrees have remainders.
Select one:
True
False

Answer 1

Something that can be false sometimes is false.

Answer 2

False

Answer 3

You could have something like \[\frac{x^{2}+8}{x^{2}+7}\]

Answer 4

I don't think that's a polynomial^

Answer 5

When x→∞ I would approximate it to be 1 ;)

Answer 6

yes, it is not a plynomial

Answer 7

zero

Answer 8

??

Answer 9

@SolomonZelman that would be\[\frac{\infty}{\infty}\]which would be undefined.

Answer 10

it actually isn't undefined

Answer 11

No when x approaches infinity, for any real number x, it would be ≈1

Also nincompoop points out, that ∞/∞ is not undefined (on some level)

Answer 12

When you say x→∞ you don't actually mean that it is ∞ / ∞

Answer 13

You're right. Sorry, I solved it as x = infinity. Using L'Hopital's rule, it equals 1.

Answer 14

Yes L'H'S would give 1, but what does it have to do with anything here?

Answer 15

Remainder and L'H'S aren't so much related to each other... or at least not in a way that I aware of.

Answer 16

No, this had nothing to do with the problem. I was merely noting my stupidity and acknowledging that you are correct.