Question

using remainder theorem , find the remainder when x^4-3x^3+2x^2-4 is divided by x+2​

Answer 1

Answer:

:

Let,

given polynomial be

and g(x) = (x - 2)

Then,

P(x) is divided by g(x)

For finding the zero of g(x), put g(x) = 0

x - 2 = 0

=> x = 2

So,

it is the zero of g(x).

On putting (x - 2) in [ Equation.(i) ] , we get

Hence, the value of p(2) is 1, which is the required remainder obtained on dividing.

Step-by-step explanation: