Question

Please help

What is a polynomial with a single root at x = 6 and a triple root at x = -2?

Answer 1

(x-6)*(x+2)^3

Single and triple is referring to the exponent of x - [the root].

Answer 2

@JoelSjogren would this be the answer??

Answer 3

Yes, but it is not the only one. You can multiply it by any non-zero number to get another answer.

Answer 4

@JoelSjogren I multiplied and got this x^4−24x^2−64x−48

Answer 5

me too

Answer 6

is that answer I should put down or is this first one good?

Answer 7

I would prefer the first one in many cases because it is more readable. However in some cases, such as when integrating, it can be better to use the second answer.