Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Question
(6x2+12x-15) / (x+8)
Use synthetic division to divide the polynomials
Expert Solution
Step 1
To divide the polynomials
(6x2+12x-15) / (x+8) using Synthetic division method.
Synthetic division method,
- Write k for the divisor in form of (x-k).
- Write the coefficients of the dividend.
- Bring the leading coefficient down.
- Multiply the leading coefficient by k. Write the product in the next column.
- Add the terms of the second column.
- Multiply the result by k. Write the product in the next column.
- Repeat steps 5 and 6 for the remaining columns.
- Use the bottom numbers to write the quotient. The number in the last column is the remainder and has degree 0.
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