The lcm of 12 and 10 is 60, which is the largest value in the set.
Yep. Here is the link to the graph: https://www.desmos.com/calculator/bvpzoqrgnu
I've figured out the answer to the question. I just had to do some substitution with the equations. The x-intercepts are (-4,0), (0,0) and (1.5,0). =)
It has no constant because f(0)=0
c_3x^3+c_2x^2+c_1x
-c_3+c_2-c_1=15
c_3+c_2+c_1=-5
8c_3+4c_2+2c_1=12
4c_3+2c_2+c_1=6
-2c_3+2c_2-2c_1=30
*2
6c_3+6c_2+6c_1=-30
*6
add together
4c_3+8c_2+4c_1=0
divide by 4
c_3+2c_2+c_1=0
compare for x intercepts
c_3x^3+c_2x^2+c_1x=c_3+2c_2+c_1