Answer
$(x+\frac{1}{2})^2$
Work Step by Step
$x^2+x+\frac{1}{4}$
$=x^2+\frac{x}{2}+\frac{x}{2}+\frac{1}{4}$
$=x(x+\frac{1}{2})+\frac{1}{2}(x+\frac{1}{2})$
$=(x+\frac{1}{2})(x+\frac{1}{2})$
$=(x+\frac{1}{2})^2$
Algebra: A Combined Approach (4th Edition)
by Martin-Gay, Elayn
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 - Page 430: 86
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