Consider the quadratic polynomial .

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

Problem

Consider the quadratic polynomial

p(x)=2x^{2}+kx-10

. (i) If

x=2

is a zero of

p(x)

, write the resulting equation in

k

. (ii) Solve the equation obtained in part (i) to find the value of

k

. (iii) Using this value of

k

, factorise

p(x)

completely.