#### Answer

$(x-1)(5x^4+x^2+3)$

#### Work Step by Step

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}

Published by
Pearson

ISBN 10:
0-32184-874-8

ISBN 13:
978-0-32184-874-1

$(x-1)(5x^4+x^2+3)$

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