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:
[tex] k(x - 2)(x - 7) = 0 [/tex]
Step-by-step explanation:
Since x = 2, and x = 7 are both solutions to a quadratic equation, it implies that:
[tex] (x - 2) and (x - 7) [/tex] are factors of the equation where k is included as a constant multiplying both factors.
Therefore, the equation would be as follows:
[tex] k(x - 2)(x - 7) = 0 [/tex]