Question

Determine which of the following expressions can be factored to (y + 2)(x + 5)?

Answer 1

C) xy + 2x + 5y + 10

Explanation:

`(y+2)(x+5)\\\\xy+5y+2x+10`

Answer 2

For this case we have the following factored expression:

`(y + 2) (x + 5)`

To find the associated polynomial, we must apply distributive property, which by definition establishes:

`a (b + c) = ab + ac`

So:

`(y + 2) (x + 5) = yx + 5y + 2x + 5 * 2\\(y + 2) (x + 5) = yx + 5y + 2x + 10`

Thus, the polynomial is
`xy + 2x + 5y + 10`

Answer:

Option C