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Chapter 11: Q16. (page 731)

Find each quotient.

3x2鈭�14x鈭�3梅x鈭�5

Short Answer

Expert verified

3x+1+2x鈭�5

Step by step solution

01

Step 1. Divide.

Divide the first term of the dividend, 3x2, by the first term of the divisor, x.

role="math" localid="1648018840965" x鈭�53x3x2鈭�14x鈭�3鈭�3x2鈭�15x1x鈭�3

02

Step 2. Divide.

Divide the first term of the partial dividend, 1x, by the first term of the divisor, x.

x鈭�53x+13x2鈭�14x鈭�3鈭�3x2鈭�15x1x鈭�3-1x-52

03

Step 3. Write the conclusion.

Therefore,3x2鈭�14x鈭�3梅x鈭�5 is3x+1 with a remainder of 2. The answer can be written as 3x+1+2x鈭�5.

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