Question

How to determine the remainder in dividing the polynomial P(x) by a divisor x-1?​

Answer 1

Calculate P(1)

Explanation:

Given

P(x)

`Divisor = x - 1`

Required

How to determine the remainder

First, you equate the divisor to 0 to solve for x

i.e.

`x - 1 = 0`

`x = 1`

Next, substitute 1 for x in P(x)

Then solve for P(1)

Take for instance;

If

`P(x) = x^3 - x^2 - 1`

Substitute 1 for x

`P(1) = 1^3 - 1^2 - 1`

`P(1) = 1 - 1 - 1`

`P(1) = - 1`

Hence, the remainder is -1