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Which of the following shows that polynomials are closed under addition when two polynomials 4x2 − 8x − 7 and −5x + 16 are added?


4x2 − 13x + 9 may or may not be a polynomial.


4x2 + 13x − 23 may or may not be a polynomial.


4x2 − 13x + 9 will be a polynomial.


4x2 + 13x − 23 will be a polynomial.

Verified Answer :

PittsburghPirates22

Im pretty sure the answer is C because the polynomial discriminate is 100 hope this helps

Answer:

The correct option is 3.

Step-by-step explanation:

The given polynomials are

\(4x^2-8x-7\)

\(-5x+16\)

We need to add these polynomials.

\(4x^2-8x-7-5x+16\)

Combine like terms.

\(4x^2+(-8x-5x)+(-7+16)\)

\(4x^2+(-13x)+(9)\)

\(4x^2-13x+9\)

The sum of two polynomials is always a polynomial.

The expression \(4x^2-13x+9\) is a polynomial.

Therefore the correct option is 3.

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