Question

find the zeros of the function f(x).

f(x) = (x - 5)(x - 8)

write your answer as a list of values separated by commas.

x =

save answer

Explanation:

Step1: Set function to zero

To find the zeros of \( f(x) = (x - 5)(x - 8) \), we set \( f(x) = 0 \), so we have the equation:
\[
(x - 5)(x - 8) = 0
\]

Step2: Apply zero - product property

The zero - product property states that if \( ab = 0 \), then either \( a = 0 \) or \( b = 0 \) (or both).
For \( (x - 5)(x - 8)=0 \), we set each factor equal to zero:

• When \( x - 5 = 0 \), we solve for \( x \) by adding 5 to both sides of the equation: \( x=5 \).
• When \( x - 8 = 0 \), we solve for \( x \) by adding 8 to both sides of the equation: \( x = 8 \).

Answer:

5, 8