This problem has two parts, part a and part b.

part a: use the remainder theorem to find the remainder when p(x)=3x3+3x2−21x−9 is divided by 3x−9.

part b: is 3x−9 a factor of p(x)=3x3+3x2−21x−9?

a options
(a) the remainder is 0
(b) the remainder is 36
(c) the remainder is -16/9
b options
(a) no, 3x−9 is not a factor of p(x)
(b) yes, 3x-9 is a factor of p(x)

the remainder is 198

Part B) 3x - 9 is not a factor

Step-by-step explanation:

option 2 is correct.

step-by-step explanation:

we are given two inequality equation

x+y> 5 and -3x+2y< -2

first we draw the graph of both function using t-table method

equation: x+y> 5

for x=0, y=5

for x=-5, y=0

table:

x   :   0     5

y   :   5     0

test point (0,0) , 0> 5

false

equation: -3x+2y< -2

for x=0, y=-1

for x=2, y=4

table:

x   :   0     2

y   : -1       4

test point (0,0) , 0< -2

true

now we draw the graph. see the attachment for graph.

common region would be solution set.

option 2 is correct.

i think 5 miles per hour

step-by-step explanation: