Step-by-step explanation:
[tex](3x + 2) {}^{7} \times (x - 1) {}^{7} [/tex]
Coefficient of x is 3
It is usually an integer that is multiplied by the variable and written next to it. The variables which do not have a number with them are assumed to be having 1 as their coefficient. For example, in the expression 3x, 3 is the coefficient of x but in the expression x2 + 3, 1 is the coefficient of x2.
[tex](3x + 2) {}^{7} \times (x - 1) {}^{7} [/tex]
[tex] = \left(2187 x^{7} + 10206 x^{6} + 20412 x^{5} + 22680 x^{4} + 15120 x^{3} + 6048 x^{2} + 1344 x + 128\right)\cdot \left(x^{7} - 7 x^{6} + 21 x^{5} - 35 x^{4} + 35 x^{3} - 21 x^{2} + 7 x - 1\right)=2187 x^{14} - 5103 x^{13} - 5103 x^{12} + 17577 x^{11} + 4347 x^{10} - 26649 x^{9} - 1869 x^{8} + 22931 x^{7} + 1246 x^{6} - 11844 x^{5} - 1288 x^{4} + 3472 x^{3} + 672 x^{2} - 448 x - 128 [/tex]
