Question

(X^2+8x+12)/(x+2) que

Answer 1

Given:

`(x^2+8x+12)/(x+2)`

Let's divide the polynomials.

To divide, let's factorize the polynomial in the numerator.

Factorize using the AC method.

Find a pair of numbers whose product is 12 and whose sum is 8.

Thus, we have the numbers:

2 and 6

The factors of the polynomial in the numerator are:

(x+2) and (x+6)

We have:

`((x+2)(x+6))/(x+2)`

Now, cancel the common factors:

Therefore, the quotient after dividing the polynomials is = x + 6

ANSWER:

`x+6`