Is the function f(X) = 4X^2 + X^4 -120 even, odd or neither?

Even function

Explanation:

Given function:

$f \left(x\right) = 4 {x}^{2} + {x}^{4} - 120$

$\setminus \implies f \left(- x\right) = 4 {\left(- x\right)}^{2} + {\left(- x\right)}^{4} - 120$

$= 4 {x}^{2} + {x}^{4} - 120$

$= f \left(x\right)$

$\setminus \because f \left(- x\right) = f \left(x\right)$ hence the given function is even function