A polynomial with integer coefficients is of the form 2x4+a3x3+a2x2+a1x+45=0. Find the number of different possible rational roots of this polynomial.
The possible rational roots come from :
All the factors of 45 = ± [ 1, 3 , 5 , 9 , 15, 45 ]
Divided by
All the factors of 2 = ± [ 1, 2]
So we have
± [ 1/2 , 3/2 5/2 , 9/2 , 15/2, 45/2 , 1, 3, 5 , 9, 15 ,45 ]
