Topics:
• Synthetic division (a short way to do long division when dividing by x-c)
• Polynomial graphs: see below
• Roots, factors, and remainders
Facts about polynomial graphs:
• The domain of a polynomial is the whole real line
• The graph of a polynomial is continuous – no breaks or jumps
• The graph of a polynomial does not have any corners
• For a polynomial of degree n, there are at most n roots (which are the same as the x-intercepts of its graph) and there are at most n-1 local maxima or minima.
• The end behavior of the graph is determined by the leading term of the polynomial.
Homework:
• Reread and review the Observations and the examples discussed in class.
• Finish the assigned problems from Session 8
• In Session 9, do the assigned problems from 9.1, 9.2, and 9.3
• Do the Warm-Up – due tomorrow by 11 PM! extended to Sunday 11 PM (link fixed)
• Do theWeBWorK – a very short assignment – due tomorrow by 11 PM! extended to Sunday 11 PM
