Question

If the polynomial
p ( x ) = ax^2 - bx^3 + cx - d
Is divided by x^2 -1 , then prove that; b=c

Answer 1

Answer:

Step-by-step explanation:

(x^2-1)=(x+1)(x-1)

if it is divided then it is root i.e x=1 and x=-1 are roots of polynomial

put x= 1

a-b+c-d=0

put x= -1

a+b-c-d=0

subtract above two eqns

-2b+2c=0

2b=2c

b=c