Final answer:
The function that has zeros at 2 and -5 is option b) x^2-3x-10.
Step-by-step explanation:
The function that has zeros at 2 and -5 is option b) x^2-3x-10.
To determine this, we can use the quadratic formula which is given by:
x = (-b ± √(b^2-4ac))/(2a)
For option b), the values of a, b, and c are 1, -3, and -10 respectively. Plugging these values into the quadratic formula, we get:
x = (-(-3) ± √((-3)^2-4(1)(-10)))/(2(1))
x = (3 ± √(9+40))/2
x = (3 ± √(49))/2
x = (3 ± 7)/2
Therefore, the zeros of option b) are x = 5 and x = -2.