Question

X- sq root 6 is a factor of x^4-36 true or false

Answer 1

We want to know if (x-sqroot(6)) is a factor of (x^4 - 36)

That's mean:

`(x^4-36)=(x-\sqrt[]{6})\text{ P(x)}`

Where P(X) is a polinomial.

In this case, if x = sqroot(6) the polinomail (x^4 - 36) must be zero, that's mean sqroot(6) is a root (or a zero) of (x^4-36).

So, if we evaluate (x^4 - 36) in x=sqroot(6):

`(\sqrt[]{6})^4-36=6^2-36=0`

So, the answer is true.