Algebra: A Combined Approach (4th Edition)

Published by Pearson
ISBN 10: 0321726391
ISBN 13: 978-0-32172-639-1

Chapter 6 - Section 6.2 - Factoring Trinomials of the Form x2+bx+c - Exercise Set: 86

Answer

$(x+\frac{1}{2})^2$

Work Step by Step

$x^2+x+\frac{1}{4}$ $=x^2+\frac{x}{2}+\frac{x}{2}+\frac{1}{4}$ $=x(x+\frac{1}{2})+\frac{1}{2}(x+\frac{1}{2})$ $=(x+\frac{1}{2})(x+\frac{1}{2})$ $=(x+\frac{1}{2})^2$
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