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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.

Sagot :

The addition of the polynomial is [tex]\rm 4x^2-13x+9[/tex] will be a polynomial.

The correct option is c.

Given

Two polynomials 4x2 − 8x − 7 and −5x + 16 are added.

What is polynomial?

A polynomial is an expression consisting of coefficients and variables which are also known as indeterminates.

To add both the polynomial following all the steps given below.

Combine terms adding and simplifying the polynomials.

Therefore,

[tex]\rm =4x^2 -8x - 7 +(-5x+16)\\\\=4x^2 -8x - 7 -5x+16\\\\= 4x^2-8x-5x+16-7\\\\= 4x^2-13x+9[/tex]

Hence, the addition of the polynomial is [tex]\rm 4x^2-13x+9[/tex].

To know more about Polynomial click the link given below.

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