The product of three consecutive positive integers is 336.
MATHEMATICS · Multi-part · AoPS · Mathematics · Follow the Rules · Follow the Rules
Problem
The product of three consecutive positive integers is 336.
(i) If the smallest integer is taken as n, frame a polynomial equation in n that represents the given condition.
(ii) Factorise the polynomial obtained in part (i) and hence find the value(s) of n.
(iii) State the three consecutive integers explicitly.