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

Step-by-step 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.

step-by-step explanation:

options

a, b, c, d are correct.

step-by-step explanation:

we have g(x) = 3 and are required to find which option is a translation of g(x).

now, 'translation' is a transformation which means to shift the function in any direction and the general form of translation is g(x) + k, where k is any real number.

so, according to the options we see that all are correct as they satisfy the general form of translation.

also, it can be seen from the graph below that the function g(x) = 3 is shifted from its position in all the four options.