MATHEMATICS · Multi-part · AoPS · Mathematics · Follow the Rules · Follow the Rules
Problem
Study the polynomial −4x3+36x and answer the following:
(i) Factorise the polynomial completely.
(ii) Using the factorised form, solve the equation −4x3+36x=0 for all real roots.
(iii) Verify by direct substitution that each root obtained satisfies the original equation.