## Elementary and Intermediate Algebra: Concepts & Applications (6th Edition)

$(2x-5)(5x^2+1)$
Using factoring by grouping, the factored form of the given expression, $10x^3-25x^2+2x-5 ,$ is \begin{array}{l} (10x^3-25x^2)+(2x-5) \\\\= 5x^2(2x-5)+(2x-5) \\\\= (2x-5)(5x^2+1) .\end{array}