Question

Statement About Polynomials: Help plssss

Answer 1

We want to get a statement about polynomials equivalent to the one given for integers.

We will get: "A polynomial times a polynomial produces a polynomial"

How to get the statement?

First, we need to read the given statement for integers, it is:

"an integer times an integer produces an integer"

Now let's see if we can extrapolate this to polynomials, suppose we have two polynomials of degree n and m.

$p(x) = a_m*x^m + ... + a_0\\q(x) = b_n*x^n + ... + b_0$

If we take the product of these two we will get another polynomial:

$p(x)*q(x) = (a_m*b_n)*x^{n + m} + ... + a_0*b_0$

Thus, we can conclude that the product of two polynomials gives another polynomial, then the statement will be:

"A polynomial times another polynomial produces a polynomial"

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

brainly.com/question/4142886