Answer:
c. (x + 3)
Step-by-step explanation:
using factor theorem
if x - 3 is a factor then p(a) = 0
p(a)= x^3 - 3x^2 - 4x + 12
a.(x-3)
p(3) = (3)^3 - 3(3)^2 - 4(3) + 12
= 27 - 27 - 12 + 12
= 0
therefore x-3 is a factor
b.(x + 2)
p(-2) = (-2)^3 - 3(-2)^2 - 4(-2) + 12
= -8 -12 + 8 + 12
,= 0
therefore x + 2 is a factor
c.(x + 3)
p(-3) = (-3)^3 - 3(-3)^2 - 4(-3) + 12
= -27 -27 + 12 + 12
= -30
therefore x + 3 is not a factor
d.(x-2)
p(2) = (2)^3 - 3(2)^2 - 4(2) + 12
= 8 -12 - 8 + 12
= 0
therefore x - 2 is a factor
Answer:
White roses - 7
Red roses - 17
Step-by-step explanation:
Set up proportional equations
White roses = x
Red roses = 3x - 4
Set equal to 24
x + 3x - 4 = 24
4x - 4 = 24
4x = 28
x = 7
x is white roses, so there are 7
Plug x value into red rose equation
3(7)-4
21-4 = 17 red roses
Check
17+7 = 24
Answer: $4.50
Step-by-step explanation:
125=21.50+23x
This is the equation to find this situation since 125 was given and it equals the left over and the spent money.
Subtract 21.50 from both sides first to be epic.
103.5=23x
Very cool! Divide both sides by 23 to get 4.5=x