Last quiz of the quarter on Wednesday that will cover everything we've had a chance to ask questions about from homework all from Unit 2.
We got to take a look at the Quarter 1 projects in the other class, W2, and see what those groups did. Make sure to indicate where you received help on the projects, as well as on homework and other class work.
Homework problems we went over in class: pg. 167 (39, 41, 43, 71)
39) a+bi complex conjugate is a-bi; helps to put i in front of the radical so you don't make it accidentally look like it's under the radical sign, which can become a very different number.
43) conjugate of the square root of 8 is the square root of 8.
71) If you don't like fractions, multiply the whole thing by the common denominator.
NEVER SQUARE ROOTS OF NEGATIVES IN YOUR ANSWERS! get rid of them as fast as you can. Also, make sure your answers with i are in the complex form, a+bi.
Class work problems for calc/non-calc: pg. 179 (12, 64) (goal is to do without a calc)
12) To find zeros with a calculator: trace if it is a whole number, or go 2nd Calc, zeros and then find. Also, go into data table and check by plugging in possible values of x to find a zero for y.
Without a calculator: use the Rational Root Test to find zeros with synthetic division or plugging in values.
Fundamental Theorem of Algebra introduced: if the degree of a polynomial function is n, then it has exactly n complex zeros, counting multiplicity.
You cannot divide a function to the power of 4 using synthetic division, must use real division (unfortunately).
Homework:
- p. 179/11, 13, 15, 37, 43, 47, 55, 63, 65
- Revise homework for quiz next class covering homework from 2.1-2.4
Nice job!
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