Question

What is the quadratic equation if the zeroes of the function are -2 and 6?

a) 2x^2+4x-12=0
b) x^2-4x-12=0
c) x^2+4x-12=0
d) 2x^2-4x-12=0​

Answer 1

The quadratic equation with zeroes at -2 and 6 is (option b) x^2 - 4x - 12 = 0, which corresponds to answer (b).

Step-by-step explanation:

The zeros of a quadratic function provide the values that make the function equal to zero. If the zeroes (or roots) of the function are -2 and 6, we can represent the function in factored form as (x + 2)(x - 6). Multiplying this out gives us x2 - 6x + 2x - 12, which simplifies to x2 - 4x - 12. This is our quadratic equation, and when we set it equal to zero, it becomes x2 - 4x - 12 = 0, which is (option b).

Answer 2

B.

Step-by-step explanation:

x = -2 or x = 6

(x + 2) or (x - 6)

(x+2)(x-6)

X² - 4x - 12 = 0