Question

The difference of two polynomials is shown.

Polynomial m: 2x²-7x.
Polynomial n: 3x - 4.
m-n= (2x²-7x)-(3x-4) = 2x²-10x+4

How does the difference 2x²- 10x + 4 demonstrate the closure of polynomials under
subtraction? Explain your answer.

Answer 1

because you have combined all like terms, the expression 2x^2 - 10x + 4 is the final answer when subtracting 2x^2-7x and 3x-4. nothing can be combined further, thus closing the need to keep solving.