College Algebra (6th Edition)

Published by Pearson
ISBN 10: 0-32178-228-3
ISBN 13: 978-0-32178-228-1

Chapter 3 - Polynomial and Rational Functions - Concept and Vocabulary Check - Page 373: 9



Work Step by Step

Synthetic Division $...$ 6. ... 7. Use the numbers in the last row to write the quotient, plus the remainder above the divisor. The degree of the first term of the quotient is one less than the degree of the first term of the dividend. The final value in this row is the remainder. ------------- We write the result of long division as dividend$\div$divisor=quotient +$\displaystyle \frac{remainder}{divisor}$ c=$-1$, so we were dividing with (x+1)...OK The first row has 4 coefficients, representing the dividend: $3x^{3}-4x^{2}+2x-1\qquad...$(degree =3) $OK$ The quotient is given in the last row as $3x^{2}-7x+9\qquad... $(degree =2) $OK$ The final value is the remainder, $-10$.... OK
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