how do i simplify the following:
2x^2 +13x +15 over 4x+6 .
I simplified 4x+6 to 2(2+3), but I can't remember how to simplify the top part.
Please help
To simplify the expression (2x^2 + 13x + 15) over (4x + 6), you can follow these steps:
Step 1: Factorize the numerator, if possible.
In this case, the numerator cannot be easily factorized using simple methods like factoring by grouping or using the difference of squares formula. So, it remains as it is: 2x^2 + 13x + 15.
Step 2: Factorize the denominator.
You have correctly simplified the denominator 4x + 6 to 2(2x + 3).
Step 3: Cancel out any common factors between the numerator and denominator.
Since there are no common factors between the numerator and denominator, you cannot cancel anything out.
The expression is now in its simplest form:
(2x^2 + 13x + 15) / (4x + 6).
If you need to further simplify it, you can try factoring the numerator or applying the quadratic formula. However, in this case, it's already simplified as much as possible since the numerator cannot be factored further.