Here's the question you clicked on:
Momiko.-.
Create a unique example of dividing a polynomial by a monomial and provide the simplified form. Explain, in complete sentences, the two ways used to simplify this expression and how you would check your quotient for accuracy.
Hmm ok here's example, hopefully it will help. \(\large f(x)=x^2+2x\) <-- Polynomial right? It has multiple.... "nom..ials" or whatever.. \(\large g(x)=x\) <-- Monomial! Dividing a Polynomial by a Monomial,\[\large \frac{f(x)}{g(x)}\qquad =\qquad \frac{x^2+2x}{x}\]
Two ways to simplify this? Hmm I guess one method would be to use Polynomial Long Division. Another method would be to simply split the problem into fractions like this, \[\large \frac{x^2+2x}{x} \qquad = \qquad \frac{x^2}{x}+\frac{2x}{x}\]And then simplify them individually. I dunno if that's the two methods that your book would describe :O But whatev.