Question

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

Answer 1

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

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