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Chapter 5: Q.323. (page 552)

Use synthetic division to find the quotient and remainder.

3x4-11x3+2x2+10x+6is divided byx-3

Short Answer

Expert verified

The quotient is3x3-2x2-4x-2 and the remainder is 0.

Step by step solution

01

Step 1. Given information.

3x4-11x3+2x2+10x+6is divided byx-3.

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-3.

33-112106

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.

33-1121069-6-12-63-2-4-20炉

04

Step 4. Simplified answer.

The coefficients of the quotient are 3,-2,-4,-2.

The quotient is 3x3-2x2-4x-2and the remainder is0.

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