<s>[INST] For what values of a ​​the function $y=x^6+ax^3-2x^3-2x^2+1$ is even I want to know for what valuyes this function is even
I know that $f(x)=f(-x)$ to proove that function is even. how its helps me?$$y=x^6+ax^3-2x^3-2x^2+1$$
Thanks!
 [/INST] Let us start by evaluationg $f(x)$ and $f(-x)$.
$f(x) = x^6 + ax^3 - 2x^3 -2x^2 +1$
and
$f(-x) = x^6 - ax^3 + 2x^3 -2x^2 +1$
If $f(x)$ should equal $f(-x)$ then $a = $...
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