Answered: (6x2+12x-15) / (x+8) Use synthetic…

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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(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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