Chapter 4.CR, Problem 27CR

### Intermediate Algebra

10th Edition
Jerome E. Kaufmann + 1 other
ISBN: 9781285195728

Chapter
Section

### Intermediate Algebra

10th Edition
Jerome E. Kaufmann + 1 other
ISBN: 9781285195728
Textbook Problem

# For problems 27-30, divide using synthetic divisionDivide ( 3 x 4 − 14 x 3 + 7 x 2 + 6 x − 8 ) by ( x − 4 ) .

To determine

To Find:

To divide using synthetic division.

Explanation

Using synthetic division method to divide rational expressions.

Calculation:

Step 1: First, write all the coefficients of the dividend in the following form.

3â€‰â€‰âˆ’14â€‰â€‰7â€‰â€‰6â€‰â€‰âˆ’8

Step 2: Equate the divisor equal to zero to obtain the value of x and put it in the division box.

xâˆ’4=0x=4

Step 3: Now bring down the leading coefficient which is 3 here.

43âˆ’1476âˆ’8â†“ _3

Step 4: Multiply 4 by the leading coefficient 3 which gives 12 and add it to the second term of the dividend that is âˆ’14 here to obtain âˆ’2.

43âˆ’1476âˆ’8â†“â€‰â€‰â€‰â€‰12 _3âˆ’2

Step 5: Multiply 4 by âˆ’2 which gives âˆ’8 add it to the third term of the dividend which is 7 here which gives -1.

43âˆ’1476âˆ’8â†“â€‰â€‰â€‰â€‰12âˆ’8 _3âˆ’2â€‰âˆ’1

Step 6: Multiply 4 by âˆ’1 which gives âˆ’4, add it to the fourth term of the dividend which is 6 here to get 2

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