Question

find the roots of the factored polynomial.
x(x - 2)(x + 7)
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 \( x(x - 2)(x + 7) \), we set each factor equal to zero.

• For the factor \( x \): \( x = 0 \)
• For the factor \( x - 2 \): \( x - 2 = 0 \), which gives \( x = 2 \) (by adding 2 to both sides)
• For the factor \( x + 7 \): \( x + 7 = 0 \), which gives \( x = -7 \) (by subtracting 7 from both sides)

Answer:

0, 2, -7