ericklivingston
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Polynomial expressions act a lot like integers because the structure of polynomials is based on the structure of integers. Based on the statement below about integers, make a statement about polynomials.
Statement About Integers: An integer added to an integer gives an integer.
Statement About Polynomials:
I need the statement about polynomials.

Respuesta :

Answer:A polynomial added to a polynomial also still gives a polymonial

facundo3141592

The equivalent statement can be:

"A polynomial added to another polynomial gives a polynomial"

What is the statement about polynomials?

First, for two polynomials p(x) and q(x), we know that:

p(x) + q(x) is also a polynomial.

So the statement can be:

"A polynomial added to another polynomial gives a polynomial"

But we can expand on that.

Suppose that the polynomials are:

p(x) = a*x^2 + b*x

q(x) = k*x^3 + j*x^2 + n*x

Adding these two we get:

(a*x^2 + b*x) + ( k*x^3 + j*x^2 + n*x)

Then we add correspondent terms (based on the power):

k*x^3 + (a + j)*x^2 + (b + n)*x

So, the degree of the resulting polynomial is equal to the degree of the polynomial with the largest degree.

If you want to learn more about polynomials, you can read:

https://brainly.com/question/4142886

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