Question

find the zeros of the function f(x). f(x) = (x - 4)(x - 6) write your answer as a list of values separated by commas. x =

Explanation:

Step1: Set function to zero

To find the zeros of \( f(x) = (x - 4)(x - 6) \), we set \( f(x) = 0 \), so we have the equation \( (x - 4)(x - 6)=0 \).

Step2: Solve for x using zero - product property

The zero - product property states that if \( ab = 0 \), then either \( a = 0 \) or \( b = 0 \) (or both).
For \( (x - 4)(x - 6)=0 \), we set each factor equal to zero:

• If \( x - 4=0 \), then by adding 4 to both sides of the equation, we get \( x = 4 \).
• If \( x - 6=0 \), then by adding 6 to both sides of the equation, we get \( x = 6 \).

Answer:

4, 6