Answer:
(x-5) (x-7)
Explanation:
x²−12x+35
note that the constant term is 35 and the x-coefficient is -12
step 1: List factors of 35 : ±1, ±5, ±7,±35
step 2: observe the factors listed and ask ourselves the following questions:
1) What 2 factors in the list , when multiplied gives the constant 35
2) What same 2 factors when added gives the x-coefficient -12
by deduction or trial and error, we can see that -5 and -7, when multiplied gives 35 and when added gives -12. Hence these become the factors.
Hence the factors are
(x-5) (x-7)