Question

Divide using long division (n³-2n²-16n+5)÷(n-5) ​

Answer 1

To divide the given polynomial by (n-5) using long division, divide each term individually, subtracting the subsequent product from the dividend, and repeating the process for each term until completion. The final answer is a quotient with or without a remainder.

Step-by-step explanation:

To divide the polynomial (n³-2n²-16n+5) by (n-5) using long division, we follow these steps:

1. Divide the first term of the dividend (n³) by the first term of the divisor (n), which gives us n².
2. Multiply the divisor (n-5) by n² and subtract the result from the dividend.
3. Repeat this process with the new polynomial dividend until all terms have been divided.

Remember, for division of exponentials, divide the coefficients and subtract the exponents of the like terms. Continually apply this method until you're through with all terms in the polynomial.

In this specific case, the answer to the long division will be another polynomial, which will be the quotient of our division, plus possibly a remainder if the division doesn't go evenly.