Use synthetic division to determine the quotient of (3x² – 17x − 28) ÷ (x-7). Show all your work in the sketch box. Sorties Remember to check for missing terms. Is x - 7 a factor of the dividend? yes no

Algebra: Structure And Method, Book 1
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Author:Richard G. Brown, Mary P. Dolciani, Robert H. Sorgenfrey, William L. Cole
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Chapter9: Systems Of Linear Equations
Section9.2: The Substitution Method
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The image with a 1 on it is the question. The other image is an example of how to solve using synthetic division.

1.
Use synthetic division to determine the quotient of
(3x² – 17x − 28) ÷ (x − 7). Show all your work in
the sketch box. Septe
Remember to check for missing terms.
Is x - 7 a factor of the dividend?
yes
no
Transcribed Image Text:1. Use synthetic division to determine the quotient of (3x² – 17x − 28) ÷ (x − 7). Show all your work in the sketch box. Septe Remember to check for missing terms. Is x - 7 a factor of the dividend? yes no
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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