Question

find remainder when x³-2x²+x-2 is divided by x-2​

Answer 1

Polynomials

Find remainder when x³-2x³+x-2 is divided by (x-2)

Solution:-

Here, f(x)= x³-2x³+x-2 is divided by the linear polynomial (x-2)

At first we will find out the zero of the polynomial (x-2)

=> x - 2 = 0

=> x = 2

From the Remainder Theoreom, we know that when f(x)= x³-2x³+x-2 is divided by (x-2) gives the remainder f(2).

Therefore, The required remainder= f(2)

=> x³-2x³+x-2

=> 2³ - 2. (2)³ + 2 - 2

=> 8 - 2. 8 + 2 - 2

=> 8 - 16 + 2 - 2

=> -8

Hence, The remainder is -8

Answer 2

find remainder when x³-2x²+x-2 is divided by x-2

ans: -8