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anonymous
 one year ago
Is 3  x the same as x + 3 (since you rearrange the terms?)?
anonymous
 one year ago
Is 3  x the same as x + 3 (since you rearrange the terms?)?

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texaschic101
 one year ago
Best ResponseYou've already chosen the best response.13  x is not the same as x  3 Because in the first one, the x is negative and the 3 is positive and in the second one, the x is positive and the 3 is negative.

texaschic101
 one year ago
Best ResponseYou've already chosen the best response.1now...3  x is the same as x + 3

mathstudent55
 one year ago
Best ResponseYou've already chosen the best response.0In order for two polynomials to be equal, all terms of one polynomial must equal all corresponding terms of the other polynomial. A polynomial of more than one term is a SUM of terms. Subtraction can be written as the sum of the opposite. For example, 5  3 is the same as 5 + (3). Similarly, x  6 can be written as x + (6) which is now a sum. Let's look at both of your polynomials and write them as sums of terms. First polynomial: 3  x 3  x = 3 + (x) In descending order of degree, then 3  x = 3 + (x) = x + 3 Second polynomial: x  3 x  3 = x + (3) The terms of the first polynomial are x and 3. The terms of the second polynomial are x and 3. Since in general x≠−x and since \(3 \ne 3\), the corresponding terms are not equal, and the polynomials are not equal. Notice what the polynomials are, though. They are opposites, or additive inverses, since they add to zero. (3  x ) + (x  3 ) = 3  x + x  3 = 3  3  x + x = 0
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