Which of the following represents the quotient of the polynomial 6x^3+3x^2-5/3x^2+1

The quotient is (2x+1)

Step-by-step explanation:

Here, the dividend =  

Divisor =

By the long division method for finding the quotient we will follow the following steps,

Steps 1 : Write dividend inside the division sign and divisor outside the division sign,

Step 2: Multiply the divisor by 2x and subtract the result by the dividend,

Step 3: Now, again multiply the divisor by 1,

Step 4: Subtract the result by the remaining dividend,

Since, further division is not possible,

Hence, the sum of all terms that are multiplied = 2x+1

Which is our quotient.

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step-by-step explanation: