To find the factor a a polynomial from its roots, we are going to seat each one of the roots equal to

, and then we are going to factor backwards.
We know for our problem that one of the roots of our polynomial is -3, so lets set -3 equal to

and factor backwards:



is a factor of our polynomial.
We also know that another root of our polynomial is

, so lets set

equal to

and factor backwards:




(

is a factor of our polynomial.
We can conclude that there is no correct answer in your given choices.
Answer:
THX FOR FREE POINT
Step-by-step explanation:
THANK YOU
Answer:
see explanation
Step-by-step explanation:
Given that M is directly proportional to r³ then the equation relating them is
M = kr³ ← k is the constant of proportion
To find k use the condition when r = 4, M = 160, thus
160 = k × 4³ = 64k ( divide both sides by 64 )
2.5 = k
M = 2.5r³ ← equation of variation
(a)
When r = 2, then
M = 2.5 × 2³ = 2.5 × 8 = 20
(b)
When M = 540, then
540 = 2.5r³ ( divide both sides by 2.5 )_
216 = r³ ( take the cube root of both sides )
r =
= 6
Answer:
100.00
Step-by-step explanation:
x=number of months until the costs are the same
50 + 20x = 25 + 30x
25 = 10x
x = 2.5 months
50 + 2.5(20) =$100.00