(x%2B9)(x-1)-0.jpeg "(x+2)(x+9)(x-1) 0")
Solving the Equation (x+2)(x+9)(x-1) = 0
This equation represents a cubic polynomial set equal to zero. To find the solutions (also called roots or zeros), we use the Zero Product Property:
If the product of multiple factors equals zero, then at least one of those factors must equal zero.
Applying this to our equation:
(x+2)(x+9)(x-1) = 0
We need to find the values of x that make each factor equal to zero:
- x + 2 = 0 => x = -2
- x + 9 = 0 => x = -9
- x - 1 = 0 => x = 1
Therefore, the solutions to the equation (x+2)(x+9)(x-1) = 0 are:
x = -2, x = -9, and x = 1
Graphical Interpretation
These solutions represent the x-intercepts of the graph of the cubic function y = (x+2)(x+9)(x-1). The graph will cross the x-axis at these three points.
In summary, the equation (x+2)(x+9)(x-1) = 0 has three solutions: -2, -9, and 1.