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To factor the polynomial ( 125x^3 + 45x ), first, we can factor out the greatest common factor, which is ( 5x ). This gives us ( 5x(25x^2 + 9) ). The quadratic ( 25x^2 + 9 ) cannot be factored further using real numbers since it does not have real roots. Therefore, the complete factorization is ( 5x(25x^2 + 9) ).

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