Answer:
Final factor is (x-9)(x+4)
Step-by-step explanation:
Given expression is [tex]x^2- 5x- 36[/tex].
Now we need to factor that expression
[tex]x^2- 5x- 36[/tex]
Find two numbers whose product is -36 and sum is -5.
Two such numbers oare -9 and +4. So we get:
[tex]=x^2- 9x+4x- 36[/tex]
[tex]=x(x-9)+4(x-9)[/tex]
[tex]=(x-9)(x+4)[/tex]
Hence final factor is (x-9)(x+4)
