Question

Mar 07,10:55:42AM Use the long division method to find the result when 9x^(3)+30x^(2)+30x+12 is

Answer 1

The long division method requires a divisor to divide the polynomial

`9x³ + 30x² + 30x + 12`.

Assuming a divisor of '
`x`', you would divide the terms in descending power order, subtract the products, and repeat with the remainders. The actual division cannot be completed without knowing the divisor.

Step-by-step explanation:

To use the long division method to find the result when dividing

`9x³ + 30x² + 30x + 12` by a divisor, we need to know what we are dividing by. Since the divisor is not provided in the question, we'll assume the division is by a monomial, like
`x`, for illustration.

The process involves dividing the highest-degree term by the divisor, then multiplying the entire divisor by that result, subtracting this from the polynomial, and repeating the process with the remainder.

Let's assume we are dividing by
`x`. The first step would be to divide

`9x³ by x` to et
`9x²` . You would then multiply
`x` by
`9x²` to subtract it from the original polynomial:

`9x³ - (9x² × x) = 0`

`30x² - (9x² × x) = 30x²`

Bring down the next term to get a new sub-polynomial, which is

`30x² + 30x.`

Continue this process until all the terms have been divided. Without the actual divisor, we can't complete the long division process.