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To multiply the polynomials (3x-1)(2x+4), we can use the distributive property. We multiply each term of the first polynomial by each term of the second polynomial.
(3x-1)(2x+4) = 3x(2x) + 3x(4) - 1(2x) - 1(4)
Simplifying, we get:
6x^2 + 12x - 2x - 4
Combining like terms, we have:
6x^2 + 10x - 4
So, the product of the polynomials (3x-1)(2x+4) is 6x^2 + 10x - 4.