Answered

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Which of the following shows that polynomials are closed under subtraction when two polynomials, (5x2 2x − 6) − (3x2 − 6x 2), are subtracted? 2x2 − 4x − 4; will be a polynomial 2x2 − 4x − 4; may or may not be a polynomial 2x2 8x − 8; will be a polynomial 2x2 8x − 8; may or may not be a polynomial.

Sagot :

The polynomials are closed under subtraction when polynomial (5x^2 +2x − 6) − (3x^2 − 6x+ 2), are subtracted  [tex]\rm 2x^2+ 8x - 8[/tex] will be a polynomial.

What is polynomial?

Polynomial is an algebraic expression that can involve variables with nonnegative integer terms and constants.

Given

Two polynomials, (5x2 2x − 6) − (3x2 − 6x 2), are subtracted.

Similar terms are terms having the same variables with the same degree.

Therefore,

The polynomials are closed under subtraction when polynomial (5x^2 +2x − 6) − (3x^2 − 6x+ 2), are subtracted;

[tex]\rm= (5x^2 +2x - 6) -(3x^2 - 6x+ 2)\\\\=5x^2+2x-6-3x^2+6x-2\\\\= 2x^2+8x-8[/tex]

Hence, the polynomials are closed under subtraction when polynomial (5x^2 +2x − 6) − (3x^2 − 6x+ 2), are subtracted  [tex]\rm 2x^2+ 8x - 8[/tex] will be a polynomial.

To know more about Polynomial click the link given below.

brainly.com/question/13898484

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