Answer:
(x -1)(x -5)
Step-by-step explanation:
We recognize that 6 is the sum of the factors of 1·5, so we can write the factorization as ...
x^2 -6x +5 = (x -1)(x -5)
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The product of factors will be ...
(x +a)(x +b) = x^2 +(a+b)x +ab
So, the binomial constants "a" and "b" are factors of the trinomial constant that have a sum equal to the coefficient of the linear term. Here, those are factors of +5 that have a sum of -6. The factors of interest are -1 and -5: 5 = (-1)(-5); -6 = (-1) +(-5).
