Which of the following is a zero for the function f(x) = (x + 3)(x − 7)(x + 5)? (2 points) x = −7 x = −3 x = 3 x = 5

x = -3

Step-by-step explanation:

Since they give you the function in binomial factor form, it is very straight forward to find what its zeroes are: Those x-values for which any of the binomial factors renders zero would be a so called "zero" of the function.

We examine each of these binomial factors [ (x+3), (x-7) and (x+5) and notice that for the factor:

(x+3) to be zero, x needs to be equal to "-3",

(x-7) to be zero, , x needs to be equal to "7",

(x+5) to be zero, , x needs to be equal to "-5".

therefore, from the options they give you, only "x= -3" is correct.

graph b

step-by-step explanation:

one solution- graph a (clear intercepting point.)

no solution- graph b (they're parallel, there will never be a point of interception.)

infinite solutions- graph c (all points intercept.)