Factor by grouping and find the zeros
x^3 - 10x^2 + 25x - 250 = 0

The answer to your question is x₁ = 10; x₂ = 5i; x₃ = -5i

Step-by-step explanation:

                                            x³ - 10x² + 25x - 250 = 0

Factor by grouping

                                     x²(x - 10) + 25(x - 10) = 0

                                   (x - 10) (x² + 25) = 0

                                     x₁ - 10 = 0

                                    x₁ = 10

                                     x² + 25 = 0

                                    x² = -25

                                    x² = ± √-25

                                    x² = ± √25i²

                                    x₂ = 5i

                                    x₃ = -5i

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step-by-step explanation:

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step-by-step explanation: