Question

Find the zeros of x2 + 10x + 24 = 0 using the zero product property.

Answer 1

To find the zeros of x^2 + 10x + 24 = 0 using the zero product property, we need to factor the quadratic equation into two linear factors.

x^2 + 10x + 24 = 0 can be factored as (x + 6)(x + 4) = 0

Using the zero product property, we set each factor equal to zero and solve for x:

x + 6 = 0 or x + 4 = 0

x = -6 or x = -4

Therefore, the zeros of x^2 + 10x + 24 = 0 are -6 and -4.

Explanation: