# Chapter P, Prerequisites - Section P.6 - Factoring - P.6 Exercises: 49

$(5x+1)(x^2+1)$

#### Work Step by Step

Regroup to obtain: $=(5x^3+x^2)+(5x+1)$ Factor out $x^2$ in the first group to obtain: $=x^2(5x+1)+(5x+1)$ Factor out the greatest common factor $(5x+1)$ to obtain: $=(5x+1)(x^2+1)$

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