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? . a. k(x-2)(x-7)=0. b. (x-2)(x-7)+k=0. c. (x+2)(x+7)+k=0. d. k(x+2)(x+7)=0

ANSWER

The correct option is,


EXPLANATION

We were given that the solutions of the quadratic equation are

and


This tells us that,



and


are factors of the quadratic equation.

This implies that the quadratic equation is of the form,



We were also told that



is a non zero constant.

This means that we can use k to multiply the whole equation and the solution will not be affected.

Our equation now becomes,



Hence the correct answer is A.