Which expression is the factored form of

x2 - 7x + 10?

(x + 3) (x + 4)

(x - 3) (x - 4)

(x - 2) (x - 5)

(x + 2) (x + 5)

The answer is C on ED

The correct factored form is (x - 2) (x - 5)

Step-by-step explanation:

When looking for the numbers to go in the parenthesis, find numbers that multiply to the final term and add up to the middle term. To find these, list out the factors of 10.

1 * 10

-1 * - 10

2 * 5

-2 * - 5

As you can see, - 2 and - 5 add up to - 7. So we select these to go in the parenthesis with x.

(x - 2) (x - 5)