Divide $2 x^{2} + 3 x + 1$ by $x + 2$ and find quotient and remainder.

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Solution

We divide $2 x^{2} + 3 x + 1$ by $(x + 2)$ as shown in the above image:

From the division, we observe that the quotient is $2 x - 1$ and the remainder is $3$ .

Hence, the quotient is $2 x - 1$ and the remainder is $3$ .

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