Question

what is the polynomial of 9x

Answer 1

Step-by-step explanation:

A polynomial is a combination of terms separated using

+

or

−

signs. Polynomials cannot contain any of the following:

1. Variables raised to a negative or fractional exponent. (

2

x

−

2

,

x

1

2

,

…

).

2. Variables in the denominator. (

1

x

,

1

x

2

,

…

).

3. Variables under a radical. (

√

x

,

3

√

x

,

…

).

4. Special features. (trig functions, absolute values, logarithms,

…

).

Determine if the expression breaks any of the rules.

Does not break any of the rules

Determine if the expression is a polynomial.

Polynomial

Answer 2

Polynomial 9x is a monomial.

• A polynomial is a sum of products of numbers, variables, and powers of those variables, and is referred to by various names in mathematics.
• We refer to a polynomial as being a monomial when it has precisely one term, and we can use this to further define a monomial and establish whether or not different polynomials are monomials.
• A polynomial with only one term is what we understand to be a monomial. We know that a single term that is a product of numbers, variables, and powers of those variables is a monomial since the terms of a polynomial are products of those three elements.
• This is exactly what is meant by the word 9x. It is a single-term polynomial since it is the product of the number 9 with the variable x. It is therefore a monomial.

Hence, it is a monomial.

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