Question

Which of the following shows that polynomials are closed under subtraction when polynomial 5x − 6 is subtracted from 3x2 − 6x 2? 3x2 − 11x 8; may or may not be a polynomial 3x2 − 11x 8; will be a polynomial 3x2 − x 4; may or may not be a polynomial 3x2 − x 4; will be a polynomial.

Answer 1

The polynomials are closed under subtraction when polynomial 5x − 6 is subtracted $\rm 3x^2-6x+2$ from is $\rm 3x^2 - 11x + 8$ will be a polynomial.

What is polynomial?

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

Given

Polynomial 5x -6 and $\rm 3x^2-6x+2$.

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

• When we subtract polynomials, we combine like terms: 3x² is the only x² term.

• We have -6x and subtract 5x from it; this gives us -11x.

• We have 2 and subtract -6 from it; when we subtract a negative, we add the opposite, which means we have 2--6=2+6=8.

Therefore,

The polynomials are closed under subtraction when polynomial 5x − 6 is subtracted from 3x2 − 6x+ 2 is;

$\rm= 5x-6-(-3x^2-6x+2)\\\\=5x-6+3x^2+6x-2\\\\=3x^2+11x-8$

Hence, the polynomials are closed under subtraction when polynomial 5x − 6 is subtracted $\rm 3x^2-6x+2$ from is $\rm 3x^2 - 11x + 8$ will be a polynomial.

To know more about Polynomial click the link given below.

brainly.com/question/13898484