Question

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

Explanation:

Step1: Set the function equal to zero

To find the zeros of \( g(x) = x(x + 9) \), we set \( g(x) = 0 \), so we have the equation \( x(x + 9)=0 \).

Step2: Apply the zero - product property

The zero - product property states that if \( ab = 0 \), then either \( a = 0 \) or \( b = 0 \) (or both). In the equation \( x(x + 9)=0 \), we let \( a=x \) and \( b = x + 9 \).

• Case 1: If \( x=0 \), then the equation \( x(x + 9)=0 \) is satisfied.
• Case 2: If \( x+9 = 0 \), we solve for \( x \) by subtracting 9 from both sides of the equation. So \( x=-9 \).

Answer:

0, - 9