Question

If x3 3x
the remainder becomes
divided by (x-2), then​

Answer 1

Question:

If x³ - 3x is divided by (x - 2) , then what's the remainder ?

Answer:

Remainder = 2

Note:

★ Remainder theorem : If a polynomial p(x) is divided by (x - a) , then the remainder obtained is given by p(a) .

Solution:

Here,

The given polynomial is ;

x³ - 3x .

We need to find the remainder when the given polynomial is divided by (x - 2) .

Let the given polynomial be p(x) .

Thus,

p(x) = x³ - 3x .

If x - 2 = 0 , then

x = 2

Thus,

The remainder will be p(2) .

=> R = p(2)

=> R = 2³ - 3×2

=> R = 8 - 6

=> R = 2

Hence ,

Remainder = 2