Mathematics

Problem

The polynomial

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

satisfies

p(0)=5

x=2

is a factor, and the remainder when

p(x)

is divided by

x+1

3

. Find the value of

b

. a)

-\dfrac{5}{2}

-\dfrac{7}{6}

-\dfrac{3}{2}

-\dfrac{2}{3}