7. Which property of polynomials says that the sum of two polynomials is also a polynomial?

Mathematics

1 answer:

vlabodo [156]3 years ago

4 0

Answer:

Closure property

Step-by-step explanation:

The closure property of polynomials for addition says that, if we add any two polynomials , the result is also a polynomial.

For is

${x}^{2} + 2$

is a polynomial.

$x - 2$

is also a polynomial.

The sum of the two polynomials is

${x}^{2} + 2 + x - 2 = {x}^{2} + x$

The result:

${x}^{2} + x$

is also a polynomial.

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Select two polynomials that have a sum of 16n^3+13n^2+7n-10 A. 8n^3 - 5n +11n^2 - 5 B. 7n^2 + 8n - n^3 + 2 C. 15n^2 - 10n + 3n^3

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Step-by-step explanation:

We have the polynomial

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To solve this problem we have to take into account that only we can sum term with the same order in the variable. We have the polynomials

$8n_{3}-5n+11n^{2}-5\\7n^2 + 8n - n^3 + 2\\15n^2 - 10n + 3n^3 - 4\\2n^2 + 12n - 5 + 8n^3$

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