Divide $2 x^{3} + 3 x^{2} - 11 x - 6$ by $x^{2} + x - 6$ .

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Solution

We divide $2 x^{3} + 3 x^{2} - 11 x - 6$ by $(x^{2} + x - 6)$ as shown in the above image:
From the division, we observe that the quotient is $2 x + 1$ and the remainder is $0$ .
Hence, the quotient is $2 x + 1$ and the remainder is $0$ .

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