BIG IDEAS MATH Algebra 2: Common Core Student Edition 2015
15th Edition
ISBN: 9781608408405
Author: HOUGHTON MIFFLIN HARCOURT
Publisher: Cengage Learning
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Question
Chapter 4.3, Problem 18E
To determine
To find: the division using synthetic division.
Expert Solution & Answer
Answer to Problem 18E
The result is x3−x2+5x−9+10x+5 .
Explanation of Solution
Given information:
Given expression,
(x4+4x3+16x−35)÷(x+5)
Calculation:
Write the coefficient of the dividend in order of descending exponents. Use 0 for the missing x term.
Because the divisor is x+5 , so k=−5 . Write −5 to the left vertical bar.
Bring down the leading coefficient. Multiply the leading coefficient by the −5 . Write the product under the second coefficient then add.
Multiply the previous sum −1 by −5 . Write the product under the third coefficient then add. Repeat this process for the remaining coefficient.
−514016−35−55−25451−15−910
The quotient is x3(1)+x2(−1)+x(5)−9=x3−x2+5x−9 and remainder is 10.
Therefore, the result is x3−x2+5x−9+10x+5 .
Chapter 4 Solutions
BIG IDEAS MATH Algebra 2: Common Core Student Edition 2015
Ch. 4.1 - Prob. 1ECh. 4.1 - Prob. 2ECh. 4.1 - Prob. 3ECh. 4.1 - Prob. 4ECh. 4.1 - Prob. 5ECh. 4.1 - Prob. 6ECh. 4.1 - Prob. 7ECh. 4.1 - Prob. 8ECh. 4.1 - Prob. 9ECh. 4.1 - Prob. 10E
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