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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.

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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

[tex]4x^2-8x-7[/tex]

[tex]-5x+16[/tex]

We need to add these polynomials.

[tex]4x^2-8x-7-5x+16[/tex]

Combine like terms.

[tex]4x^2+(-8x-5x)+(-7+16)[/tex]

[tex]4x^2+(-13x)+(9)[/tex]

[tex]4x^2-13x+9[/tex]

The sum of two polynomials is always a polynomial.

The expression [tex]4x^2-13x+9[/tex] is a polynomial.

Therefore the correct option is 3.

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