Chapter 4 test

Question 1

crosses when

Answer 1

power is odd

Question 2

touches when

Answer 2

power is even

Question 3

max number of turning points

Answer 3

power-1

Question 4

remainder theorem

Answer 4

• use opposite of divided by x as x in f(x), that is the remainder
• or use synthetic division

Question 5

list potential rational zeros

Answer 5

factos of last term over factors of first term

Question 6

find the real zeros

Answer 6

• 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

Question 7

i^2

Answer 7

-1

Question 8

i^3

Answer 8

-i

Question 9

i^4

Answer 9

1

Question 10

i^5

Answer 10

i

Question 11

i to a high power

Answer 11

simplify it to the product of 2, one that you can make into 1 or -1

Question 12

square root -25

Answer 12

just 5i, only 2 answers if power to 2

Question 13

sum of cubes

Answer 13

a3 + b3 = (a + b)(a2 – ab + b2)

Question 14

difference of cubes

Answer 14

a3 – b3 = (a – b)(a2 + ab + b2)

Question 15

find the remaining zeros given one complex zero

Answer 15

• take the given zero to find another zero
• multiply the two zeros
• divide by that value (outside of division)
• factor

Question 16

degrees the same

Answer 16

HA= coefficients

Question 17

top degree higher than lower

Answer 17

HA= y=0

Question 18

top degree one more

Answer 18

oblique asymptote

Question 19

factors and cancels out

Answer 19

hole

Question 20

if denominator or imaginary numbers, domain is

Answer 20

all real numbers

Question 21

when finding domain, ignore

Answer 21

outer coefficient

Question 22

divide

Answer 22

smaller power on outside

Question 23

power more than one greater

Answer 23

none