Let . It is given that: (i) (ii) (iii) is a factor of (iv) Find the values of , , and…

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

Problem

Let

P(x)=x^{4}+ax^{3}+bx^{2}+cx+d

. It is given that: (i)

P(1)=2

(ii)

P(-1)=-2

(iii)

(x-2)

is a factor of

P(x)

(iv)

P(0)=5

Find the values of

a

b

c

and

d