Topics:
• Finding all roots of a polynomial and using them to find a complete factorization of the polynomial over the complex numbers.
• For a polynomial with real coefficients, if it has non-real complex roots they occur in conjugate pairs: if a+bi is a root, then so is a-bi.
• Using knowledge of the roots and other information to find the formula for a polynomial.
Homework:
• Review the examples discussed in class, and also study Example 10.9 in the textbook.
• Do (if you have not already done it) Exercise 9.4(a-d). In each case, start with the standard viewing window. Write down each change you make to the standard viewing window and why you made it – what was it about the graph that you wanted to see that you could not see.
• Do the assigned problems from Session 10
• Do the WeBWorK – due by Sunday 11 PM
• Do the Warm-Up for Rational Functions – also due by Sunday 11 PM
• Don’t forget that Test 2 is scheduled for Wednesday 19 March. There will be a separate post with more information.
