Algebra: Structure And Method, Book 1
(REV)00th Edition
ISBN:9780395977224
Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Publisher:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
Chapter5: Factoring Polynomials
Section5.11: Using Several Methods Of Factoring
Problem 12MRE
Related questions
Question
100%
Use the long division algorithm to determine the quotient of (2x^4+14x^3+5x^2-21x+9)/(2x^2-3).
Example of this is below.
![3x²-17x+20
X-4
x²-7x+3
2x+12x²³-13x²-x+3
-2x³7x²
↓
-14x²-x
#14x²+7x
6x+3
-6xF3
Quotient: x2-7x+3
2+1 is a factor of the dividend
02x³
2x
-13x2-x²
x²
=
@-14x²
2x
33 6x = 3
2x
- 14x²
= -
= -7x
I](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F214831c2-5a2f-4a84-b5dd-77a7a2998efb%2F59efb10f-3201-471d-a732-36f3c738696d%2Fhlw7xi_processed.png&w=3840&q=75)
Transcribed Image Text:3x²-17x+20
X-4
x²-7x+3
2x+12x²³-13x²-x+3
-2x³7x²
↓
-14x²-x
#14x²+7x
6x+3
-6xF3
Quotient: x2-7x+3
2+1 is a factor of the dividend
02x³
2x
-13x2-x²
x²
=
@-14x²
2x
33 6x = 3
2x
- 14x²
= -
= -7x
I
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