The given graph is crossing the x-axis at the points -5 and -2. This means x=-5 and x=-2 are the roots of the given polynomial.
So, the factors of the polynomial are x + 5 and x + 2. A polynomial can be expressed as the product of its factors. So the given polynomial can be expressed as (x+5)(x+2).
(x+5)(x+2) = x² + 2x + 5x + 10
(x+5)(x+2) = x² + 7x + 10
So, the correct answer to this question is option C