Question

Can someone explain Polynomial Long Division to me?

Answer 1

I do very well with the division of a polynomial by a monomial, but once I have to divide by a binomial, I get very confused.

Answer 2

let me find an example somewhere brb

Answer 3

ah suppose we are given this problem and we need to use long division\[\LARGE \frac{x^2-9x-10}{x+1}\]

Answer 4

so we need to rewrite this starting with the denominator outside and the numerator inside

Answer 5

so now we have to start finding what variables we need to multiply x+1 with

Answer 6

so how do we produce that x^2 that we need in the numerator?
well we need an x

so \[\LARGE x(x+1) \rightarrow x^2+x\]
after we obtain this result, we need to switch the signs so when we add this to the\[\LARGE x^2-9x\] our \[\LARGE x^2 \] should be gone

Answer 7

so \[\LARGE x^2+x\] becomes
\[\LARGE -x^2-x \]