A cubic polynomial is given by

MATHEMATICS · Subjective · A Level · Mathematics · Algebra and Functions · Algebra and Functions

Problem

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

. It satisfies the following conditions: (i)

(x-1)

is a factor of

p(x)

, (ii) the remainder obtained when

p(x)

is divided by

(x+2)

4

, and (iii)

p(0)=3

. Calculate the values of

a

b

and

c