College Algebra (10th Edition)

Published by Pearson
ISBN 10: 0321979478
ISBN 13: 978-0-32197-947-6

Chapter R - Section R.5 - Factoring Polynomials - R.5 Exercises: 126

Answer

$(x+1)^{2}(x^{2}-x+1)$

Work Step by Step

We factor by grouping to obtain: $x^{4}+x^{3}+x+1=x^{3}(x+1)+1(x+1) =(x^{3}+1)(x+1) =(x+1)(x+1)(x^{2}-x+1) =(x+1)^{2}(x^{2}-x+1)$
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