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Use synthetic division to determine the quotient of (5x^4+2x^2-15x+10)/(x+2). Solve like the example attached. Is x+2 a factor of the dividend?

Use synthetic division to determine the quotient of (5x^4+2x^2-15x+10)/(x+2). Solve like the example attached. Is x+2 a factor of the dividend?

Algebra: Structure And Method, Book 1
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
Chapter9: Systems Of Linear Equations
Section9.2: The Substitution Method
Problem 7OE
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Use synthetic division to determine the quotient of (5x^4+2x^2-15x+10)/(x+2). Solve like the example attached.

Is x+2 a factor of the dividend?

Solution: 3x - 5; Video: https://www.loom.com/share/3380d1d4b923493db7f9601d8c5 3x²-17x+20 X-4 Dividing # X-4=0 X=4 4 3 ↓ -17 20 + 12 -20 3x - 5x 10 → Rem Constant * Quohent: 3x-5 * Because remainder is 0; 3x-5 and X-4 are factors of the dividend (3x-5)(x-4)= 3x²-17x+-20
Transcribed Image Text:Solution: 3x - 5; Video: https://www.loom.com/share/3380d1d4b923493db7f9601d8c5 3x²-17x+20 X-4 Dividing # X-4=0 X=4 4 3 ↓ -17 20 + 12 -20 3x - 5x 10 → Rem Constant * Quohent: 3x-5 * Because remainder is 0; 3x-5 and X-4 are factors of the dividend (3x-5)(x-4)= 3x²-17x+-20
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