College Algebra (10th Edition)

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

Chapter 5 - Section 5.5 - The Real Zeros of a Polynomial Function - 5.5 Assess Your Understanding - Page 387: 58


Solution set: $\displaystyle \{-\frac{3}{2}\}$

Work Step by Step

We can factor in pairs here: $x^{2}(2x+3)+(2x+3)=0$ $(2x+3)(x^{2}+1)=0$ $x^{2}+1$ has no real zeros (does not yield zero for any real x). $2x+3=0$ when $x=-\displaystyle \frac{3}{2}$ Solution set: $\displaystyle \{-\frac{3}{2}\}$
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