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

$(x-1)(5x^4+x^2+3)$
Using factoring by grouping, the factored form of the given expression, $5x^5-5x^4+x^3-x^2+3x-3 ,$ is \begin{array}{l}\require{cancel} 5x^4(x-1)+x^2(x-1)+3(x-1) \\\\= (x-1)(5x^4+x^2+3) .\end{array}