Question

HELP

Is each expression a polynomial?

Drag and drop each expression to the correct box.

Is a polynomial



Is not a polynomial




x^2
—— + 1
7

-2x^3+2x+4

x^-3 + 4x

6x - x^3 + 4x^2

Answer 1

a, b, d = polynomial

c = not a polynomial

so,

x^2/7 + 1 is a polynomial

-2x^3+2x+4 is a polynomial

x^-3 + 4x is NOT a polynomial

6x - x^3 + 4x^2 is a polynomial

Explanation:

I don't remember all the reasons to look for on a polynomial, but here are some:

- the terms are separated by plus or minus signs. (ex. 6x - x^3 + 4x^2. Things like equal signs would make it not a polynomial.)

- the exponent should not be negative. (ex. x^-3) that is what makes c not a polynomial.

- fractioned exponents are not a polynomial (ex. x^3/2)

- division signs are also not a polynomial however there are some exceptions.

and i'm not sure about this one but,

- Square roots also makes it not a polynomial.

Hope that makes sense/helps! :))

Sorry that i'm late whoops

Answer 2

`(x^2)/(7)+1 \text{ is a polynomial;}\\-2x^3+2x+4 \text{ is a polynomial;}\\x^(-3)+4x \text{ is not a polynomial;}\\\text{and }6x-x^3+4x^2 \text{ is a polynomial.}`

Explanation:

A polynomial is the sum or difference of one or more monomials. A monomial is a constant, a variable, or the product of constants and variables. It does not include negative exponents.

The first choice is a polynomial because the only terms are variables with positive exponents and constants.

The second choice is a polynomial because the only terms are variables with positive exponents and constants.

The third choice is not a polynomial because the first term has a negative exponent.

The fourth choice is a polynomial because the only terms are variables with positive exponents and constants.