What is the quotient of 2x^3 +3x^2+5x-4 divided by x^2 + x+ 1

Step-by-step explanation:

Where, the quotient is 2·x + 1, and the reminder is 2·x - 5

Hence, the above is correct is as follows:

The given dividend is 2·x³ + 3·x² + 5·x - 4

The divisor is x² + x + 1

By long division of a polynomial we have;

2·x + 1 [Quotient]

(2·x³ + 3·x² + 5·x - 4) ÷ (x² + x + 1 )

2·x³ + 2·x² + 2·x

0    +   x²  + 3·x - 4

          x² + x    + 1

          0  + 2·x - 5

Thurs, we have:

Hence, the correct answer is  

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