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 Assess Your Understanding: 73

Answer

number to be added:$25$ factored form: $(x+5)^2$

Work Step by Step

RECALL: To complete the square for the expression $x^2+bx$, $(\frac{b}{a})^2$ must be added. The factored form of the result is $(x+\frac{b}{2})^2$. Thus, in the given expression add $(\frac{10}{2})^2=5^2=25$ to obtain: $x^2 + 10x + 25$ Writing the square in factored form gives: $x^2+10x+25 = (x+5)^2$
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