Question

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

Answer 1

Answer: The correct option is

(B) x = - 3.

Step-by-step explanation: We are given to select the correct zero of the following polynomial function :

`f(x)=(x+3)(x-7)(x+5)~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)`

The zeroes of the function f(x) are given by

`f(x)=0\\\\\Rightarrow (x+3)(x-7)(x+5)=0\\\\\Rightarrow x+3=0,~~x-7=0,~~x+5=0\\\\\Rightarrow x=-3,7,-5.`

Therefore, the zeroes of the given function are

x = -3, x = 7 and x = -5.

Thus, the correct option is

(B) x = -3.

Answer 2

x = −3

Explanation:

A zero of a function is a value that makes one of the factors be zero.

To make x+3 = 0, x = -3.

To make x-7 = 0, x = 7.

To make x+5 = 0, x = -5.

Of these values that make the factors zero, only x = -3 is on your choices list.