Answer:
D. List all the factors of 36.
Step-by-step explanation:
We are given the following information in the question:
\(x^2 - 5x -36\)
We have to factorize the above expression.
To do so, we use the technique of splitting the middle term.
The first step in finding these factors is to find a pair of factors whose sum is -5 and whose product is -36.
Thus, we need to list all the factors of 36 and then find the factors of -36 and find a pair such that the sum of factors is -5.
The factors could be find in the following manner:
\(x^2 - 5x -36=0\\x^2 - 9x + 4x 36=0\\x(x-9)+4(x-9) = 0\\(x+4)(x-9) = 0\\x = -4, x = 9\)
The factors are (x+4) and (x-9).
