The factored polynomial is given as follows:
(5x - 1)(6x² + 1)
Polynomials are factored placing the common factor in evidence, then dividing all terms by the common factor.
The polynomial is:
6x²(5x - 1) + (5x - 1).
The common factor is (5x - 1), hence:
[tex](5x - 1)\left(\frac{6x^2(5x - 1)}{5x - 1} + \frac{5x - 1}{5x - 1}\right) = (5x - 1)(6x^2 + 1)[/tex]
Hence the factored polynomial is given as follows:
(5x - 1)(6x² + 1)
More can be learned about the factoring of polynomials at https://brainly.com/question/2416165
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