Question

find the zeros of the function ( f(x) ).
( f(x) = (x - 4)(x + 3) )
write your answer as a list of values separated by commas.
( x = )

Explanation:

Step1: Set \( f(x) = 0 \)

To find the zeros of the function \( f(x)=(x - 4)(x + 3) \), we set \( f(x)=0 \), so we have the equation \( (x - 4)(x + 3)=0 \).

Step2: Apply the zero - product property

The zero - product property states that if \( ab = 0 \), then either \( a = 0 \) or \( b = 0 \) (or both). So, from \( (x - 4)(x + 3)=0 \), we get two equations:

• Case 1: \( x - 4=0 \)

Solving for \( x \), we add 4 to both sides of the equation: \( x=4 \).

• Case 2: \( x + 3=0 \)

Solving for \( x \), we subtract 3 from both sides of the equation: \( x=- 3 \).

Answer:

4, - 3