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Is this an even/ odd function and how do you find out algebraically?
g(x)=(x-1)(x+3)(1+x)(3x-9)
Please write the solution!
I'm not sure what to do because its in a factored form instead of standard.
is there a way of doing this by only factoring it further with -1?
2 Answers
- Anonymous1 decade agoFavorite Answer
I'm assuming that they want to know if the order of the polynomial is even or odd. You'll need to factor it out, and then find what the highest power is (in this case it is 4). Since 4 is even its order is even. I'm not sure if that's exactly what you're asking for though. If you can give us more details we can make sure we give you the write answer.
- gileLv 71 decade ago
g(x) = (x - 1)(x + 3)(1 + x)(3x - 9)
g(x) = 3(x - 1)(x + 1)(x + 3)(x - 3)
g(x) = 3(x² - 1)(x² - 9)
Since (-x)² = x², g(-x) = g(x). Hence g(x) is an even function