Find the coefficient of x⁵ in x⁷ $+$ 3x² - 2x³.

Given: x7 $+$ 3x2 - 2x3

To find: Here we have to find the coefficient of x5 in x7 $+$ 3x2 - 2x3.

Solution:

We can write the equation as:

$x^{7} \ +\ 0( x)^{6} \ +\ 0( x)^{5} \ +\ 0( x)^{4} \ +\ 3( x)^{2} \ -\ 2( x)^{3}$

So, the coefficient of x⁵ is zero.