x^2 + 15x + 36
To work with the expression x^2 + 15x + 36, we can factorize it
To work with the expression x^2 + 15x + 36, we can factorize it.
First, we need to look for two numbers that multiply to 36 (the coefficient of the constant term) and whose sum is 15 (the coefficient of the x term).
The possible pairs of numbers are:
1 and 36
2 and 18
3 and 12
4 and 9
6 and 6
Among these pairs, we can see that 4 and 9 satisfy the condition because 4 + 9 = 13.
Now, we will factorize the expression as (x + 4)(x + 9).
This means that the expression x^2 + 15x + 36 can be written as (x + 4)(x + 9).
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