Hey there mate :)
As per question,
Given that Nicole made:-
![5 {x}^(3) - 13x^(2) - 20x + 800](https://img.qammunity.org/2023/formulas/mathematics/high-school/r9yiegfaeiue3ada4x5btph7ios3jf8mi0.png)
And she packed:-
![(x - 5)](https://img.qammunity.org/2023/formulas/mathematics/high-school/h15bii21t3og8dheh6nzl5tztyf24b2c2u.png)
1. The number of boxes can be obtained as the quotient when 5x^3-13x^2-20x+800 divided by x-5.
(The division part is attached as image. Check it)
Thus the number of boxes is 5x^2+12x+40
2) The number of cupcakes left unpacked is equal to the remainder when 5x^3-13x^2-20x+800 divided by x-5.
Thus, the number of cakes left and unpacked is 1000