Answer
$(x+1)(2x+1)$
Work Step by Step
First, we write
$$
2x^2 + x + 1=2x^2 +2x+x + 1
.$$
By grouping the first two terms and the second two terms and then taking common factors, we have
$$
2x^2 +2x+x + 1=2x(x+1)+(x+1)=(x+1)(2x+1)
.$$
Precalculus: Concepts Through Functions, A Unit Circle Approach to Trigonometry (3rd Edition)
by Sullivan III, Michael
Published by
Pearson
ISBN 10:
0-32193-104-1
ISBN 13:
978-0-32193-104-7
Appendix A - Review - A.4 Factoring Polynomials - A.4 Assess Your Understanding - Page A40: 58
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