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What quotient is obtained when $2 x 2 + 3 x + 1 ÷ (x + 1) = ?$

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(x + 1)

(2 x + 1)

(x + 3)

(2 x + 3)

answer is B.

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Detailed Solution

Given,

2 x 2 + 3 x + 1 ÷ (x + 1)

Dividing the given terms,

x + 1 2 x + 1 2 x 2 + 3 x + 2 x 2 + 2 x − − x + 1 x + 1 ¯ − − ¯ 0 1

Hence,

(2 x 2 + 3 x + 1) (x + 1) = 2 x + 1

.
Therefore, option 2 is correct.

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