Question

Which function has zeros at 2 and -5?

a) x^2+3x+10
b) x^2−3x−10
c) x^2−3x+10
d) x^2+3x+10

Answer 1

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.