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

; will be a polynomial

Step-by-step explanation:

Given:

Two polynomials has to be subtracted

By Definition of polynomial which states:

"A polynomial is an algebraic expression with a finite number of terms and are termed in the form "axn" where "a" is a real number, "x" means to multiply, and "n" is a non-negative integer."

; will be a polynomial

horizontal translation of 2 units in the positive x direction

followed by

vertical translation of 3 units in the positive y direction

step-by-step explanation: