Answer:
x = −3
Step-by-step 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.
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 :
[tex]f(x)=(x+3)(x-7)(x+5)~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)[/tex]
The zeroes of the function f(x) are given by
[tex]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.[/tex]
Therefore, the zeroes of the given function are
x = -3, x = 7 and x = -5.
Thus, the correct option is
(B) x = -3.
