PR Module Updates

[kathypinzon]

@AbbyANoble and I were discussing in the meeting today the idea of how to make the PR module flow better and be more accessible for both college algebra and precalculus.

Suggestions:

• Move graphing module (should now be PR3) above long division and zeros
  Make graphing module a basic overview - end behavior, multiplicities from graph and factored form
  Only use factored form or easily factorable polynomials
  Only real zeros

• Long Division (now PR4) see comments from Tonya Mistakes in PR3 #383

• In Zero section (now PR5) - discuss rational root theorem and find zeros using that and long division
  Students need to be able to find zeros of a “bigger” polynomial using some combo of rational root, or given one zero and divide, or graph to find a zero, then find the rest.
  A couple at the end about complex zeros.
  Also see comments from Abby PR4 review #384

@tdegeorge would you be able to look this over.

[AbbyANoble]

Adding in that the new PR3 - Graphing just needs a little tweaking to incorporate the basics of zeros (from current zero section). Then the new zero section (new PR5) about finding more difficult zeros needs writing, but is mainly for Precalculus and not an immediate need before the semester starts. Some of the current zero section can be used in the new one.

[siwelwerd]

I started fixing #383 (will be done pending a clarification from Tonya) since that is easier. It looks like the requested improvements to PR4 are more substantial though, and would benefit from waiting until after we potentially re-organize? In other words, I think I am suggesting the workflow:

1. Reshuffle the sections
2. Tweak "Graphs of Polynomial Functions" (Currently PR5, proposed to be PR3)
3. Rework "Zeros of Polynomial Functions (Currently PR4, proposed to be PR5) to include the notes above as well as Abby's comments in PR4 review #384

I gather we are still awaiting feedback from @tdegeorge on point 1, so will hold off on the rest until then.

[siwelwerd]

1. Completed in Reorder PR sections #405
2. See Add to PR3 #407
3. See PR5 improvements #408