#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)

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter8: Polynomials
Section: Chapter Questions
Problem 58SGR
Question
#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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