Question

Use the long division method to find the result when 6x^3 + 25x^2+ 18x + 14 is

divided by 2x + 7.

Answer 1

To divide 6x^3 + 25x^2 + 18x + 14 by 2x + 7 using long division, follow these steps: Divide the leading term of the dividend by the leading term of the divisor, multiply the divisor by the quotient, subtract the result, repeat with the new dividend, and sum up the quotients obtained.

Step-by-step explanation:

To divide 6x^3 + 25x^2 + 18x + 14 by 2x + 7 using long division, follow these steps:

1. First, divide the leading term of the dividend (6x^3) by the leading term of the divisor (2x). The quotient is 3x^2.
2. Multiply the entire divisor (2x + 7) by the quotient (3x^2) and subtract the result from the dividend. This will give you a new dividend.
3. Repeat the process with the new dividend. Divide the leading term of the new dividend by the leading term of the divisor, and subtract the result from the new dividend.
4. Continue this process until you have no more terms to bring down. The final quotient is the sum of all the quotients obtained in each step.

In this case, when 6x^3 + 25x^2 + 18x + 14 is divided by 2x + 7, the result is 3x^2 + 4x - 2.

Answer 2

Answer: 3x^2+2x+2


Explanation: it’s correct