Question

I need help (Please don't go away if u know the answer)

Answer 1

Let f(x) be a polynomial function. If f(x) is divided by (x-1) , (x+1) and (x+2) , then the remainders are 5 , 3 and 2 respectively. When f(x) is divided by
x^3 + 2x^2 -x - 2 , then the remainder is ?

Answer 2

@ganeshie8

Answer 3

@AravindG

Answer 4

Do you know remainder theorem?

Answer 5

Yes

Answer 6

If p(x) / (x – a) = q(x) with remainder r(x),

then p(x) = (x – a) q(x) + r(x)

Apply it here.

Answer 7

What will be q(x) here

Answer 8

SO,
f(x)=(x-1)q(x) +5

Answer 9

q(x) is actually the factor of f(x). Use the given info and you get 3 eqns in q(x).

Answer 10

f(x)=(x-1)q(x) +5
f(x)=(x+1)q(x) +3
f(x)=(x+2)q(x) +2

Answer 11

after this @AravindG

Answer 12

Solve the equations for q(x).