Question

The following quadratic equation is given in factored form. 6(x-7)(x−4)=0. Write two equations using the zero product property and the factors from the equation. Do not solve the equations.

Answer 1

The given factored form of the quadratic equation allows us to write two equations using the zero product property. These equations represent the possible values of x that would make the equation equal to zero.

Step-by-step explanation:

1. Using the zero product property, we can write two equations based on the given factored form: x - 7 = 0 and x - 4 = 0.
2. These equations represent the two possible values of x that would make the quadratic equation equal to zero.
3. Simplifying the equations further, we have x = 7 and x = 4.