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Chapter 5: Q.319. (page 551)

Use synthetic division to find the quotient and remainder.

2x3-11x2+16x-12is divided byx-4

Short Answer

Expert verified

The quotient is2x2-3x+4and the remainder is 4.

Step by step solution

01

Step 1. Given information.

2x3-11x2+16x-12 is divided byx-4.

02

Step 2. Write the coefficients of the terms as the first row of the synthetic division. 

Write the divisor form of x-cthat is x-4.

42-1116-12

03

Step 3. Bring down the first coefficient to the third row and multiply the coefficients by the divisor and place the result in the second row and add the column and put the result in the third row. 

42-1116-128-12162-344炉

04

Step 4. Simplified answer. 

The coefficients of quotient is 2,-3,4.

The quotient is2x2-3x+4and the remainder is4.

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