Lecture 5: Distance formula, Lines, Slopes
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Assignment
By today you should have read through Chapter 1 of the text and done
problems 4n+1, n=0,...,8 in section 1.3 and 4n+1, n=0,...,18 in
section 1.4.
Brief review of the lecture
What's special about a line? If you measure the change in y
divided by the change in x for any two points on a line, you get
always get the same quotient.
We talked about two problems beside the quiz last Friday.
1. Let L denote the line through (1,5) and (-1,9). Which of the
following points also belongs to L?
A. (10,-10) B. (10,-12) C. (10,-13) D. (10,-15) E. (10,-20)
2. Find an equation for the line that perpendicularly bisects
the segment joining the points (2,4) and (4,12).
Classification of Polynomials
| Degree |
Symbolic representation |
Common representation |
Name |
Maximum # of zeros |
| 0 |
a0 |
c |
constant |
none |
| 1 |
a1x+a0 |
mx+b |
linear |
1 |
| 2 |
a2x2+a1x+a0 |
ax2+bx+c |
quadratic |
2 |
| 3 |
a3x3+a2x2+a1x+a0 |
none |
cubic |
3 |
| 4 |
as expected |
none |
quartic |
4 |
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