Answer: The quotient is (2x+1)
Step-by-step explanation:
Here, the dividend = [tex]6x^3+3x^2-5[/tex]
Divisor = [tex](3x^2+1)[/tex]
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.
