Chapter 4 test Flashcards
1
Q
crosses when
A
power is odd
2
Q
touches when
A
power is even
3
Q
max number of turning points
A
power-1
4
Q
remainder theorem
A
- use opposite of divided by x as x in f(x), that is the remainder
- or use synthetic division
5
Q
list potential rational zeros
A
factos of last term over factors of first term
6
Q
find the real zeros
A
- look at calculator graph first
- use synthetic division
- factor out
- list zeros
- If it can’t be rationally factored, leave it unfactored(i)
- can use quadratic
7
Q
i^2
A
-1
8
Q
i^3
A
-i
9
Q
i^4
A
1
10
Q
i^5
A
i
11
Q
i to a high power
A
simplify it to the product of 2, one that you can make into 1 or -1
12
Q
square root -25
A
just 5i, only 2 answers if power to 2
13
Q
sum of cubes
A
a3 + b3 = (a + b)(a2 – ab + b2)
14
Q
difference of cubes
A
a3 – b3 = (a – b)(a2 + ab + b2)
15
Q
find the remaining zeros given one complex zero
A
- take the given zero to find another zero
- multiply the two zeros
- divide by that value (outside of division)
- factor
