Question

Factor x^(2n) + 5x^n - 24. Can somebody just help me to get started on this? I'm not sure where to begin...

Answer 1

x^n(x^n + 5) - 24, start from here

Answer 2

How did you get that?

Answer 3

wait u can do this
x^2n + 8x^n - 3x^n - 24
x^n(x^n + 8) - 3(x^n + 8)
(x^n - 3)(x^n + 8)

Answer 4

so x^n = -8 or 3. Then you need to figure out something from nth root, which I am not sure about.

Answer 5

this is basically a hidden quadratic equation

Answer 6

use the substitution: \(y=x^n\) to get a standard quadratic

Answer 7

@Kanwar245 thank you! all we had to do was factor it into (x^n - 3)(x^n + 8).
@asnaseer that's a good way to look at it, I'll try that and make sure i understand it completely.

thank you!

Answer 8

yw :)