Question 1029813
Look at Pascal's triangle and choose the 5th row, one more than the degree.
1 4 6 4 1
So arrange your polynomial with descending powers of x starting with exponent 4 using the coefficients above.
{{{(1+x)^4=1*1^4*x^0+4*1^3*x^1+6*1^2*x^2+4*1^1*x^3+1*1^0*x^4}}}
{{{(1+x)^4=1+4x+6x^2+4x^3+x^4}}}