Question

The graph of a quadratic function y = x^2 + 7x + 10 passes through the point (0,10) and one of its zeros is (-5,0). What’s the other 0 of the function?

Answer 1

x = - 2

Explanation:

given

y = x² + 7x + 10

To find the zeros let y = 0 , that is

x² + 7x + 10 = 0 ← in standard form

(x + 5)(x + 2) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 5 = 0 ⇒ x = - 5 ← zero already given

x + 2 = 0 ⇒ x = - 2 ← the other zero of the function