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#1 Perform the following divisions using any appropriate method. State your result in the form of a division statement a) (6x' +x² –14x– 6) + (3x + 2)

#1 Perform the following divisions using any appropriate method. State your result in the form of a division statement a) (6x' +x² –14x– 6) + (3x + 2)

Advanced Engineering Mathematics
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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#1 Perform the following divisions using any appropriate method. State your result in the form of a division statement a) (6x' + x² –14x – 6) + (3x + 2)
Transcribed Image Text:#1 Perform the following divisions using any appropriate method. State your result in the form of a division statement a) (6x' + x² –14x – 6) + (3x + 2)
Expert Solution
Step 1

Let P(x) and Q(x) be two polynomials in x.

Long division method is one of the methods which is used to divide the polynomials PxQx. Here, the polynomial P(x) is called the dividend and the polynomial Q(x) is called the divisor.

Let a(x) and r(x) be the quotient and the remainder of the division PxQx, respectively. 

Then, the division can be expressed as PxQx=ax+rxQx.

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