𝑀𝑡 is of the form 𝑀𝑡=𝑎𝑡2+𝑏𝑡+𝑐
It is given that 𝑀0=−3, 𝑀2=3, and 𝑀3=18.
A) Write a system of three equations that may be used to find the values of the constants 𝑎, 𝑏, and 𝑐 in the expression for 𝑀𝑡.
B) Find the values for 𝑎, 𝑏, and 𝑐 as decimal approximations.