Which of the following functions is neither even nor odd? A. f(x)=x6−3x4−4x2 B. f(x)=2x3−3x2−4x+4 C. f(x)=x5−2x3−3x D. f(x)=6x5−x3

even function : , odd function: $f(x)=-f(-x)$

it is neither odd nor event when both condition don't hold.

See option B.

$f(x)=2x^3-3x^2-4x+4$

$f(-x)=-2x^3-3x^2+4x+4=-(2x^3+3x^2-4x-4)$

clearly, it is neither odd nor even.

hello from mrbilldoesmath!

answer:   x (x+6)^2, choice b

discussion:

factor x out of the equation:

x^3 + 12x^2 + 36x = x (x^2 + 12x + 36).

note that 6+6 = 12 and 6*6 = 36 so the above factors into:

x (x+6)^2

which is choice b

you,

mrb