Yes, it being sarcastic
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Oh, dude, negative x times 3x is negative 3x^2. It's like when you're just multiplying those x's and one of them is negative, it's gonna make the whole thing negative. So yeah, negative 3x^2, man.
Take the coordinates of for example, x and x'. Arrange them into a fraction. Add them together and if there is a negative in a cordinate, the answer will be negative. Just use the negative/positive rule.
Yes. They just can't have fractional parts.
Taking the reciprocal (multiplicative inverse) does not affect the positive or negative status of an integer. So the reciprocal of a negative number is negative and the reciprocal of a positive number is positive. The reciprocals will be opposites (positive/negative) just as the original numbers were.
negative times negative is positive negative divided by a negative is a postive negative times a positive is a negative negative divided by a positive is a negative