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

Answer:

$x^{2} -3x-23$; will be a polynomial

Step-by-step explanation:

Given:

Two polynomials $(4x^{2} - 8x -7)- (3x^{2}-5x + 16)$has to be subtracted

$(4x^{2} - 8x -7)- (3x^{2}-5x + 16)\\4x^{2} - 8x -7- 3x^{2}+5x -16\\4x^{2} - 3x^{2}- 8x+5x -16 -7\\x^{2} - 3x -23$

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."

$x^{2} -3x-23$; will be a polynomial

Answer 2

Answer:

x^2 − 3x − 23; will be a polynomial

Step-by-step explanation:

(Took test)