Use the long division algorithm to determine the quotient of (2x^4+14x^3+5x^2-21x+9)/(2x^2-3).

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
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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
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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