(x+7)(x-1)(x+8) 0

Jasonbradley

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Jun 17, 2024

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Solving the Equation (x+7)(x-1)(x+8) = 0

This equation represents a cubic polynomial set equal to zero. To find the solutions, we can utilize the Zero Product Property, which states that if the product of multiple factors equals zero, at least one of those factors must equal zero.

Applying the Zero Product Property

1. Set each factor equal to zero:

   • x + 7 = 0
   • x - 1 = 0
   • x + 8 = 0

2. Solve for x in each equation:

   • x = -7
   • x = 1
   • x = -8

Solutions

Therefore, the solutions to the equation (x+7)(x-1)(x+8) = 0 are:

• x = -7
• x = 1
• x = -8

These solutions represent the points where the graph of the cubic function intersects the x-axis.