Consider the quadratic polynomial .

MATHEMATICS · Multi-part · AoPS · Mathematics · Quadratic Equations - Part 1 · Quadratic Equations - Part 1

Problem

Consider the quadratic polynomial

2x^2-11x+12

. (i) Verify that

x=4

and

x=\frac{3}{2}

are zeros of the polynomial. (ii) Hence express

2x^2-11x+12

as a product of its linear factors. (iii) Explain how your verification in part (i) justifies the factorisation obtained in part (ii).