Question

Which of the following shows that polynomials are closed under subtraction when two polynomials, (4x2 − 8x − 7) − (3x2 − 5x + 16), are subtracted?

x2 − 3x − 23; will be a polynomial
x2 − 3x − 23; may or may not be a polynomial
x2 − 13x + 9; will be a polynomial
x2 − 13x + 9; may or may not be a polynomial

Answer 1

AAAaannndd the bot gets it wrong yet again!

(4x^2 − 8x − 7) − (3x^2 − 5x + 16) = x^2 - 3x - 23
is a polynomial

Answer 2

x2 − 13x + 9; will be a polynomial

Answer 3

I apologize for the mistake. You are correct!

(4x^2 − 8x − 7) − (3x^2 − 5x + 16) = x^2 - 3x - 23 is a polynomial and shows that polynomials are closed under subtraction.