6x^2 - 2 and 6x^2 + 2

which operation when performed on the two polynomials will not produce another polynomial.

addition

division

multiplication

subtraction

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If you add the two polynomials, you get

(6x^2-2)+(6x^2+2) = 12x^2

which is another polynomial.

We can rule out choice A.

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If you subtract the polynomials, the same kind of story happens (but you'll get a different polynomial)

(6x^2-2)-(6x^2+2) = -4

The term -4 is a polynomial of degree 0.

We can rule out choice D.

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If you multiply the two polynomials, then you get another polynomial. Use the FOIL rule

(6x^2-2)(6x+2) = 36x^2 + 12x - 12x - 4 = 36x^2 - 4

or you could use the difference of squares rule to help expand

(6x^2-2)(6x+2) = (6x)^2 - (2)^2 = 36x^2 - 4

or you could use the box method (see Figure 1 in the attached images below)

Whichever method you use, the result is 36x^2 - 4 which is another polynomial.

We can rule out choice C. The only thing left is choice B.

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When dividing two polynomials, it is not always guaranteed to get another polynomial as a result. Use polynomial long division to calculate (6x^2-2)/(6x^2+2) and you'll get what you see in Figure 2 below. Figure 3 shows the long division table for (6x^2+2)/(6x^2-2). Both figures 2 and 3 show a nonzero remainder. The nonzero remainder means the result is not a polynomial.

step-by-step explan mxfcg'k; uafwgzfgjhklhgation:

(1, –1), (16, –4), (36, –6)

step-by-step explanation:

given that the function is

this can also be written as

we have to graph this function and check which list of points lie on the graph

see attachment for graph:

we find that the points lying are (1,-1) (16,-4) and (36,-6)

since square root is there we find that x can only be posiitve but y can be since square root both positive and negative.