Answer:
(x+5) and (x-7).
Step-by-step explanation:
The given equation is :
[tex]x^2-2x-35[/tex]
We need to write it in factored form.
We have to find two number such that their sum is 2 and product is 35.
We know that,
7×5 = 35 and 7+(-5) = 2
So,
[tex]x^2-2x-35=x^2-7x+5x-35\\\\=x(x-7)+5(x-7)\\\\=(x+5)(x-7)[/tex]
Hence, the required factors are (x+5) and (x-7).
