5. Divide using long division. (2x -x2 +3x + 1) (x² +2x+ 2)
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:5. Divide using long division.
(2x*-x2 +3x+1)
(x² + 2x + 2)
Expert Solution
Step 1 Introduction
GIVEN A POLYNOMIAL AND A BINOMIAL, USE LONG DIVISION TO DIVIDE THE POLYNOMIAL BY THE BINOMIAL.
- Set up the division problem.
- Determine the first term of the quotient by dividing the leading term of the dividend by the leading term of the divisor.
- Multiply the answer by the divisor and write it below the like terms of the dividend.
- Subtract the bottom binomial from the top binomial.
- Bring down the next term of the dividend.
- Repeat steps 2–5 until reaching the last term of the dividend.
- If the remainder is non-zero, express as a fraction using the divisor as the denominator.
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