The cubic polynomial satisfies and

MATHEMATICS · Single correct · AoPS · Mathematics · Quadratic Equations - Part 1 · Quadratic Equations - Part 1

Problem

The cubic polynomial

p(x)=x^{3}+ax^{2}+bx-6

satisfies

p(1)=0

and

p(2)=6

. Find the value of

a+b

. (a)

10

(b)

5

(c)

-5

(d)

2