Question

solve for f.
(f + 2)(f - 6) = 0
write your answers as integers or fractions.
f = or f =

Explanation:

Step1: Apply Zero-Product Property

If \( (f + 2)(f - 6)=0 \), then either \( f + 2 = 0 \) or \( f - 6 = 0 \) (by the zero - product property, which states that if \( ab = 0 \), then \( a = 0 \) or \( b = 0 \)).

Step2: Solve \( f + 2 = 0 \)

Subtract 2 from both sides of the equation \( f+2 = 0 \). We get \( f=-2 \).

Step3: Solve \( f - 6 = 0 \)

Add 6 to both sides of the equation \( f - 6 = 0 \). We get \( f = 6 \).

Answer:

\( f=-2 \) or \( f = 6 \)