Asked by Kennedy Brown on Mar 10, 2024

Verified

# Use the Zero-Factor Property to solve the equation below. $x(x+6)=0$

A) $x=0$ and $x=6$

B) $x=−6$

C) $x=−6$ and $x=0$

D) $x=0$

E) $x=6$

Zero-Factor Property

A rule stating that if the product of two factors equals zero, at least one of the factors must also be zero.

Equation

A statement in mathematics that declares two expressions, often including variables and constants, to be equivalent.

- Execute the solution process for polynomial equations via the Zero-Factor Property.

Verified Answer

DV

David VergaraMar 10, 2024

Final Answer :

C

Explanation :

The Zero-Factor Property states that if the product of two factors is equal to zero, then at least one of the factors must be zero. In this case, we have x(x + 6) = 0, which means that either x = 0 or x + 6 = 0. Solving for x, we get x = 0 or x = -6. Therefore, the correct answer is C, because it includes both solutions.

## Learning Objectives

- Execute the solution process for polynomial equations via the Zero-Factor Property.