Asked by Kennedy Brown on Mar 10, 2024

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

A) x=0x = 0x=0 and x=6x = 6x=6
B) x=−6x = - 6x=6
C) x=−6x = - 6x=6 and x=0x = 0x=0
D) x=0x = 0x=0
E) x=6x = 6x=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.
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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.