Question

The zeros of a quadrtic function are located at (3, 0) and (-4, 0). Which product shows the linear factors of this function's equation?

(x + 3)(x + 4)
(x - 3)(x + 4)
(x - 3)(x - 4)
(x + 3)(x - 4)

Answer 1

The linear factors of the quadratic function's equation are (x - 3)(x + 4).

Step-by-step explanation:

The zeros of a quadratic function indicate the values of x for which the function equals zero. In this case, the zeros are located at (3, 0) and (-4, 0). The product that shows the linear factors of this function's equation is (x - 3)(x + 4). This is because the linear factors are derived from the zeros as (x - 3) and (x + 4), where adding the zeros gives the opposite sign in each factor.

Answer 2

This one is pretty simple. You have to look at the zeros given to you and you just have to plug it in for X. For the first function, (X+3(X+4), you replace the Xs so it would look something like this. (3+3)(-4+4). When you solve for both of these you will get 6 and 0. Because they both do not equal out to zero, this function does not work. If you do that to the rest of the functions, you will find that (X-3)(X+4) will equal out to 0 for both. You then know that this is the function. You can make sure that that is the correct answer by plugging the zeros into the other functions as well. If you do so, you will find that the other functions do not work.