In the polynomial of X obtained by (3x + 32) & nbsp; 100 expansion, the terms with rational coefficients are______ Item

In the polynomial of X obtained by (3x + 32) & nbsp; 100 expansion, the terms with rational coefficients are______ Item

The general term of (3x + 32) 100 expansion is tr + 1 = 350 − r22r3cr100x100 − R, where r = 0, 1, 2 If R is a multiple of 6, r = 0, 6.16, 18 There are 17 values in 96, so there are 17 items whose coefficients are rational numbers, so the answer is 17