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

$(7t-5)(t^2+1)$
Using factoring by grouping, the factored form of the given expression, $7t^3-5t^2+7t-5 ,$ is \begin{array}{l} (7t^3-5t^2)+(7t-5) \\\\= t^2(7t-5)+(7t-5) \\\\= (7t-5)(t^2+1) .\end{array}