Find the roots of the polynomial x⁵ - 8x³ + 16x. Give the multiplicity of each. A) Roots are x = 0 with multiplicity 1, x = 2 with multiplicity 2, and x = -2 with multiplicity 2. B) Roots are x = 0, x = 2, x = -2, x = 2i, x = -2i, each with multiplicity 1. C) Roots are x = 2 and x = -2, each with multiplicity 2. D) Roots are x = 0 with multiplicity 1 and x = 2 with multiplicity 4. E) Roots are x = 0 with multiplicity 1, x = 2i with multiplicity 2, and x = -2i with multiplicity 2.

Question

Quizplus · Accepted Answer

The polynomial can be factored as x(x^4 - 8x^2 + 16) = x(x^2 - 4)^2. The roots are x = 0 with multiplicity 1, x = 2 with multiplicity 2, and x = -2 with multiplicity 2.

Find the Roots of the Polynomial X5 - 8x3

Find the Roots of the Polynomial X⁵ - 8x³