Find the quotient using long division -4x²+29x-7

College Algebra
7th Edition
ISBN:9781305115545
Author:James Stewart, Lothar Redlin, Saleem Watson
Publisher:James Stewart, Lothar Redlin, Saleem Watson
Chapter3: Polynomial And Rational Functions
Section: Chapter Questions
Problem 5T: (a) Use synthetic division to find the quotient and remainder when x44x2+2x+5 divided by x — 2. (b)...
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Write a letter to a friend explaining how to do the long division process.  Write at least five sentences.  You don’t have to show me an example.  Put the process in words.  Use the steps attached to help.

 

Dear friend, in order to do the polynomial long division process you must first..................

Find the quotient using long division
Do we have
Any missing terms?
No
Draw the line
change the signs!!!
1.) Divide
=1
2.) Multipy
1(x-7)
-4x²+29x - 7
x-7
== 4x+1
-4x+1
X-7-4x² +29x-7
±4x² F28x ↓
**What does it mean when we get a remainder of 0?
X-7
x=2
O
1.) Divide first term of dividend by first
term of divisor.
-4x²
-=-4x²
ix
2.) Multiply first term of Quotient by
divisor.
- 4x(x-7)=-4x²³ +28x
3.) Subtract by drawing the line
And changing the signs.
29x-28x = X
4.) Bring down the next term(s).
5.) Repeat
The divisor X-7 and the Q:-4x+1
are Factors of the dividend
Transcribed Image Text:Find the quotient using long division Do we have Any missing terms? No Draw the line change the signs!!! 1.) Divide =1 2.) Multipy 1(x-7) -4x²+29x - 7 x-7 == 4x+1 -4x+1 X-7-4x² +29x-7 ±4x² F28x ↓ **What does it mean when we get a remainder of 0? X-7 x=2 O 1.) Divide first term of dividend by first term of divisor. -4x² -=-4x² ix 2.) Multiply first term of Quotient by divisor. - 4x(x-7)=-4x²³ +28x 3.) Subtract by drawing the line And changing the signs. 29x-28x = X 4.) Bring down the next term(s). 5.) Repeat The divisor X-7 and the Q:-4x+1 are Factors of the dividend
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