Answer:
Corrections refers to the branch of the criminal justice system that deals with individuals who have been convicted of a crime.
Explanation:
Corrections refers to the branch of the criminal justice system that deals with individuals who have been convicted of a crime. The role of the correctional system is to ensure that an offender's sentence is carried out, whether it's time in jail or prison, probation, or community service.
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The width of the rectangle using synthetic division is; 5x² + 4x - 6
<h3>Synthetic division of Polynomials</h3>
We are given;
Area of rectangle = 5x³ + 19x² + 6x - 18
Length of rectangle = x + 3
We know that;
Width of rectangle = Area/length.
Using synthetic division, we have;
<u>5x² + 4x - 6 </u>
(x + 3) | 5x³ + 19x² + 6x - 18
- <u>5x³ + 15x²</u>
4x² + 6x
- <u>4x² + 12x</u>
-6x - 18
<u> -6x - 18</u>
0
Thus, the width of the rectangle is 5x² + 4x - 6
Read more about polynomial synthetic division at; brainly.com/question/24323423
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