College Algebra (10th Edition)

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

Chapter R - Section R.6 - Synthetic Division - R.6 Assess Your Understanding - Page 62: 7

Answer

$x^2+x+4$; remainder $12$

Work Step by Step

Write the coefficients of the dividend in decreasing degree inside the synthetic division symbol. Determine the value $c$ of the divisor $x-c$. The division expression has: $c=2$ coefficients of the dividend in descending degree order: $1, -1, 2, 4$. Thus, the division problem becomes: $2)\overline{\text{1 -1 2 4}}$ Perform the synthetic division to obtain: (refer to the image below) Therefore, the quotient is: $x^2+x+4$; remainder $12$
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