Question

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

Answer 1

Answer: The quotient is (2x+1)

Step-by-step explanation:

Here, the dividend =  $6x^3+3x^2-5$

Divisor = $(3x^2+1)$

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.