Question

The solutions to a quadratic equation are x = 2 and x = 7. If k is a nonzero constant, which of the following must be equal to the quadratic equation?

Answer 1

k(x-2)(x-7)=0

Explanation:

Answer 2

`k(x - 2)(x - 7) = 0`

Explanation:

Since x = 2, and x = 7 are both solutions to a quadratic equation, it implies that:

`(x - 2) and (x - 7)` are factors of the equation where k is included as a constant multiplying both factors.

Therefore, the equation would be as follows:

`k(x - 2)(x - 7) = 0`