   Chapter 4.CR, Problem 27CR

Chapter
Section
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.

314768

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

x4=0x=4

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

4314768 _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 14 here to obtain 2.

431476812 _32

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

4314768128 _321

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

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