Question

Express x^5-5x^4+12x^2-1 as a polynomial in (x-1)​

Answer 1

Answer:

Unlike the examples on the previous page, nearly all polynomial divisions do not "come out even"; usually, you'll end up with a remainder.

Divide 3x3 – 5x2 + 10x – 3 by 3x + 1

I start with the long-division set-up:

long-division set-up

Looking only at the leading terms, I divide 3x3 by 3x to get x2. This is what I put on top:

x^2 up on top