Question

find the zeros of the function f(x).
f(x) = (x + 1)(x + 9)
write your answer as a list of values separated by commas.
x =

Explanation:

Step1: Set function to zero

To find the zeros of \( f(x) \), we set \( f(x) = 0 \). So we have the equation \( (x + 1)(x + 9)=0 \).

Step2: Apply zero - product property

The zero - product property states that if \( ab = 0 \), then either \( a = 0 \) or \( b = 0 \) (or both).
For \( (x + 1)(x + 9)=0 \), we set each factor equal to zero:

• When \( x+1 = 0 \), we solve for \( x \) by subtracting 1 from both sides of the equation. So \( x=-1 \).
• When \( x + 9=0 \), we solve for \( x \) by subtracting 9 from both sides of the equation. So \( x=-9 \).

Answer:

-1, -9