For this case we have the following factored expression:
[tex](y + 2) (x + 5)[/tex]
To find the associated polynomial, we must apply distributive property, which by definition establishes:
[tex]a (b + c) = ab + ac[/tex]
So:
[tex](y + 2) (x + 5) = yx + 5y + 2x + 5 * 2\\(y + 2) (x + 5) = yx + 5y + 2x + 10[/tex]
Thus, the polynomial is [tex]xy + 2x + 5y + 10[/tex]
Answer:
Option C
