Question

find the roots of the factored polynomial.
x(x + 5)(x + 3)
write your answer as a list of values separated by commas.
x =

Explanation:

Step1: Set each factor to zero

To find the roots of the polynomial \( x(x + 5)(x + 3) \), we set each factor equal to zero.
For the first factor \( x \):
\( x = 0 \)

Step2: Solve for \( x \) in \( x + 5 = 0 \)

For the second factor \( x + 5 \):
\( x + 5 = 0 \)
Subtract 5 from both sides: \( x = -5 \)

Step3: Solve for \( x \) in \( x + 3 = 0 \)

For the third factor \( x + 3 \):
\( x + 3 = 0 \)
Subtract 3 from both sides: \( x = -3 \)

Answer:

0, -5, -3