# Chapter 5 - Polynomials and Factoring - 5.1 Introduction to Factoring - 5.1 Exercise Set: 54

$(7t-5)(t^2+1)$

#### Work Step by Step

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}

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