x^2+6x-44/x+9
X squared plus six X minus 44 divided by X+9.
Having a hard time with this problem. I need someone to help me step by step or give me some pointers please? Thank you.
Since it is not an equation, what are you supposed to do with it?
There is no question here.
To simplify the expression (x^2 + 6x - 44)/(x + 9), we can start by factoring the numerator and the denominator.
1. Factor the numerator:
The quadratic expression x^2 + 6x - 44 can be factored as (x + 11)(x - 4). To find this, we need to identify two numbers whose product is -44 and whose sum is +6. In this case, the numbers are +11 and -4.
2. Factor the denominator:
The linear expression x + 9 cannot be factored further.
3. Reduce the expression:
Now, our expression becomes ((x + 11)(x - 4))/(x + 9).
By factoring the numerator and the denominator, we can see that there are common factors between them. Specifically, (x + 11) appears in both the numerator and the denominator. We can cancel out this common factor:
Now, we have (x - 4)/(x + 9).
Therefore, the simplified form of the expression (x^2 + 6x - 44)/(x + 9) is (x - 4)/(x + 9).