Excuse me is that a statement or a question because you do not make it sound like one.
Answer:
5. ST 6. AT
Step-by-step explanation:
For a product to be divisible by a number, one of the factors must be that number. This can be achieved by one of the consecutive numbers being that number, or a multiple of that number.
5. 4 x 5 x 6 = 120 which is divisible by 5
1 x 2 x 3 = 6 which is not divisible by 5
6. 1 x 2 x 3 = 6 which is divisible by 6
2 x 3 x 4 = 24 which is divisible by 6
3 x 4 x 5 = 60 which is divisible by 6
4 x 5 x 6 = 120 which is divisible by 6
And now we will just repeat ourselves.
The x-axis intercepts are the roots of the polynomial. So, the roots are x = - 2, x = - 1 and x = 3.
Therefore, the polynomial can be factored as:
(x - (-2)) * ( x - (-1) ) * (x - 3) = (x + 2)(x + 1)(x - 3).
Answer: (x + 2) (x + 1) (x - 3)