Simplify the rational expression. State any restrictions on the variable.

$$\frac{n^{4}-10n^{2}+24}{n^{4}-9n^{2}+18}$$

Question

Simplify the rational expression. State any restrictions on the variable.

$$\frac{n^{4}-10n^{2}+24}{n^{4}-9n^{2}+18}$$

anonymous · Answer

i guess the idea is to factor and cancel

anonymous · Answer

$$x^4-10x+24=(x^2-6)(x^2-4)$$ for the numerator

anonymous · Answer

$$x^4-9x^2+18=(x^2-3)(x^2-6)$$ for the denominator

anonymous · Answer

looks like you can cancel something, right?

anonymous · Answer

as for the "restrictions" set 
$$(x^2-6)(x^2-4)=0$$ and solve for $x$ since you are not allowed to divide by zero

anonymous · Answer

is x = 0 ?

I'm not too familiar with solving for x to get restrictions...

anonymous · Answer

no

anonymous · Answer

$$(x^2-6)(x^2-4)=0$$
$$x^2-6=0\
x^2-4=0$$
$$x^2-6=0\iff x^2=6\iff x=\pm\sqrt6$$
$$x^2-4=0\iff x^2=4\iff x=\pm2$$

anonymous · Answer

I'm kinda confused about the second one because there's no two's in any othe answer choices http://awesomescreenshot.com/0772ddk722 unless... was I supposed to plug those into x?