Question

I WILL MARK BRAINLIST!!

Answer 1

Answer:

2x2 + 8x − 8; will be a polynomial

Step-by-step explanation:

Answer 2

Answer:

For $(2x^2 + 8x - 8)$, the group is CLOSED as it a polynomial.

Step-by-step explanation:

Here, the given polynomials are:

$P(x)=(5x^2+2x-6)\\Q(x)=(3x^2-6x+2)$

Now, a group G is said to be CLOSED UNDER SUBTRACTION if,

a and b are he elements of G ⇒ (a-b) is ALSO AN ELEMENT of G

Now, here:

$R(x) = P(x) - Q(x) = (5x^2+2x-6) - (3x^2-6x+2) = (2x^2 + 8x - 8)$

or, $R(x) = (2x^2 + 8x - 8)$

Also, R(x) is a POLYNOMIAL.

So, R(x) is an Element of group G.

So, the set G of polynomials.

Hence, for the polynomial  $(2x^2 + 8x - 8)$, it will be a polynomial the group is CLOSED.