Step-by-step explanation: The trinomial shown here is in a special form that can be factored as the product of two binomials.
The way you do that is by setting up 2 sets of
parenthses that will contain your 2 binomials.
The first term in each binomial will be a factor of x².
Since x² factors x · x, we will use an x as the first term in each binomial.
To fill the second position in each binomial,
we will use factors of 10 that give us a sum of -7.
So how do we get factors of a positive
number that add to a negative number?
Well 10 for instance can be thought of as 10 · 1
but it can also be thought of as -10 · -1.
Another option would then be -5 · -2.
Since -5 + -2 is -7, we will use those.
So our answer is (x - 5)(x - 2).
