The area (in square metres) of a rectangular billboard is represented by
MATHEMATICS · Multi-part · AoPS · Mathematics · Quadratic Equations - Part 1 · Quadratic Equations - Part 1
Problem
The area (in square metres) of a rectangular billboard is represented by 8y2−2y−3, where the breadth is (2y−1) metres.
(i) Factorise 8y2−2y−3 into linear factors.
(ii) Hence find an expression for the length of the billboard in terms of y.
(iii) For y=2, compute the length, breadth and area of the billboard and verify that the area matches the given expression.