You have the following expression given in the problem:
f(x) = x³ – 2x²<span> – x + 2
Therefore, to find the roots, you must apply the proccedure shown below:
1. You have:
0 </span><span>= x3 – 2x2 – x + 2
2. Then, when you factor, you obtain:
(x-2)(x-1)(x+1)=0
3. Therefore, you have that the roots are the following:
x1=-1
x2=1
x3=2</span>
30 of the divisors are multiples of 3
The factors of 2160 are 1, 2160, 2, 1080, 3, 720, 4, 540, 5, 432, 6, 360, 8, 270, 9, 240, 10, 216, 12, 180, 15, 154, 16, 135, 18, 120, 20, 108, 24, 90, 27, 80, 30, 72, 36, 60, 40, 54, 45, 48
These are all divisors of 2160 but only 30 are multiples of 3.
The ones that are NOT are 1, 2, 4, 5, 8, 10, 16, 20, 40 and 80
You can also do this using prime factors 2x2x2x2x3x3x3x5 = 2160 but it is harder to explain.
Less than
Just like how 1/4 is less than 1/2
