Suppose you can factorize:
Then by expanding the right side, you have
which means in this case, you have to have
Then by expanding the right side, you have
which means in this case, you have to have
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1 answer:
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The function
f(x) is even
g(x) is neither even nor odd
h(x) is odd
Steps:
for an even function it holds that f(-x) = f(x):
f(-x) = (-1)^6 x^6 - (-1)^4 x^ 4 = x^6 - x^4 = f(x) => f is even
for an odd h(x) it holds that h(-x) = -h(x):
It is easy to show that g(x) does not match any of the two possibilities above.