Answer:
(1) x-6
(2) x-1
(3) 6
(4) 1
Explanation:
y = x^2 - 7x +6
Since your last number 6 is positive, then it should equal the product of two positive numbers or the product of two negative numbers.
However since your middle number which contains x is -7, the 6 should be a product of 2 negative numbers.
These two numbers when multiplies should equal +6 and when added should equal -7.
(-1) x (-6) = +6
(-1) + (-6) = -7
The numbers are -1 & -6.
Therefore, y = (x-1)(x-6) or y = (x-6)(x-1)
(x - 1) ------------- (1)
(x - 6) ------------- (2)
To find value of x, set whatever is in your paranthesis to 0:
x-1 = 0 => x = 1 --------------- (3)
x-6 = 0 => x = 6 -------------- (4)
Also (1) & (2) can be interchanged or mixed up. But if you choose to do so, then you must do the same for (3) & (4).