Question

Dividing Polynon the solution to the following (m²-7m-11)-:(m-8)

Answer 1

To divide the polynomials (m²-7m-11) by (m-8), we can use the long division method. The result is m+11.

Step-by-step explanation:

To divide two polynomials, we can use the long division method. In this case, we have the polynomial m²-7m-11 being divided by the polynomial m-8. Here are the steps to solve it:

1. Start by dividing the first term of the dividend (m²) by the first term of the divisor (m). The result is m.
2. Multiply the divisor (m-8) by the result from step 1 (m) to get m²-8m.
3. Subtract m²-8m from the dividend m²-7m-11. The result is m+11m-11.
4. Move to the next term of the dividend, which is 11m. Divide it by the first term of the divisor (m) to get 11.
5. Multiply the divisor (m-8) by the result from step 4 (11) to get 11m-88.
6. Subtract 11m-88 from the previous result m+11m-11. The result is 99.

Therefore, the solution to the division problem is m+11.