Question

(n² + 10n +18) ÷ (n + 5)

Answer 1

To divide the polynomial (n² + 10n + 18) by (n + 5), we can use long division. The answer is n + 5 - (7 / (n + 5)).

Step-by-step explanation:

When dividing a polynomial by a binomial, we can use long division or synthetic division. Let's use long division in this case:

1. Divide the first term of the numerator, n², by the first term of the denominator, n.
2. Multiply the result by the entire denominator, n + 5, and write it beneath the numerator.
3. Subtract this product from the numerator.
4. Bring down the next term and repeat the process until there are no terms left to bring down.

In this case, the quotient is n + 5 and the remainder is -7. Therefore, the answer is n + 5 - (7 / (n + 5)).

Learn more about Dividing polynomials