Quote:
Originally Posted by gumi  Polynomial p(x) and a divisor d(x) are given. Find the quotient q(x) and the remainder r(x) when p(x) is divided by d(x).
a,
p(x)=12x^3-40x^2+11x+39
d(x)=2x-5
b,
p(x)=x^4+x^2+2
d(x)=x^2+x+1 |
This is just long division of polynomials. I'll walk you through the first one.
We need to find the correct multiple of
to get to the level of
. That multiple is
.
So we multiply
and subtract that from
, which leaves us with
. Now, how many times will
go into this?
.
So
and we subtract out
, leaving us with
. Finally, we see that we need a multiple of -7 for the last step:
and we subtract this from
to yield 4.
The answer is therefore:
