1. ## polynomial

hi, i'm stuck on a particular part of a question:

the polynomial $x^3 + ax^2 + bx + c$ leaves the remainders 2, 2 and 6 when divided by (x + 1), x and (x - 1) respectively. find the values of the constants a, b and c.

i understand what to do with (x + 1) and (x - 1) you make it P(-1) and P(+1) and work from there. but what do you do when its just x on its own as is the case here?

thanks for any help, mark

2. Originally Posted by mark
hi, i'm stuck on a particular part of a question:

the polynomial $x^3 + ax^2 + bx + c$ leaves the remainders 2, 2 and 6 when divided by (x + 1), x and (x - 1) respectively. find the values of the constants a, b and c.

i understand what to do with (x + 1) and (x - 1) you make it P(-1) and P(+1) and work from there. but what do you do when its just x on its own as is the case here?

thanks for any help, mark
The remainder when p(x) is divided by x is p(0). Think of x as (x - 0).