Consider the following for the next items that follow:

Let (1 + x)n = 1 + T1x + T2x2 + T3x3 + ... + Tnxn.

What is 1 - T1 + 2T2 - 3T3 + ... + (-1)nnTn equal to ? 

Consider the following for the next items that follow:

Let (1 + x)n = 1 + T1x + T2x2 + T3x3 + ... + Tnxn.

What is T1 + T2 + T3 + ... + Tn equal to ?

Consider the following for the next items that follow:

Let f(x) = x2 - 1 and gof(x) = x - √x + 1.

Which one of the following is a possible expression for g(x)?

Consider the following for the next items that follow:

Let f(x) = x2 - 1 and gof(x) = x - √x + 1.

What is g(15) equal to ?