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Answer:
The pairs of polynomials that are relatively prime are:
* 4x, x
* a² - 4a, a² - 4
* 3x + 6, 3x² - 6
* 3x, x + 6
These pairs of polynomials are relatively prime because they have no common factors other than 1 and -1. For example, the polynomials 4x and x have no common factors other than 1 and -1, so they are relatively prime. Similarly, the polynomials a² - 4a and a² - 4 have no common factors other than 1 and -1, so they are also relatively prime.
The remaining pairs of polynomials are not relatively prime because they have common factors other than 1 and -1. For example, the polynomials 3a and a³ have a common factor of a, so they are not relatively prime. Similarly, the polynomials 4m and 4m - 4 have a common factor of 4, so they are also not relatively prime.