A quadratic polynomial has its graph passing through the points

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

Problem

(-4,0)

(1,0)

and

(0,-2)

. (i) Express the polynomial in factored form with an unknown leading coefficient

k

. (ii) Using the given information, find the value of

k

. (iii) Write the polynomial in the expanded standard form

ax^{2}+bx+c