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**Yes, definitely**. In rings, such as integers or polynomial rings not all elements do have square roots (like over complex numbers). Having a square root means exactly the same as being a perfect square. So you can take any polynomial, and take its square, then you will have another polynomial which has a square root.**Roots of a polynomial can be found by substituting the suitable values of a variable which equate the given polynomial to zero**. The factorisation of polynomials also results in roots or zeroes of the polynomial.In particular, for an expression to be a polynomial term, **it must contain no square roots of variables**, no fractional or negative powers on the variables, and no variables in the denominators of any fractions.

Table of Contents

## Can a polynomial have a root?

**Roots of a polynomial can be found by substituting the suitable values of a variable which equate the given polynomial to zero**. The factorisation of polynomials also results in roots or zeroes of the polynomial.

## Can a polynomial have a square root of a variable?

In particular, for an expression to be a polynomial term, **it must contain no square roots of variables**, no fractional or negative powers on the variables, and no variables in the denominators of any fractions.

### Simplifying Radicals With Variables, Exponents, Fractions, Cube Roots – Algebra

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## Why square root is not a polynomial?

A polynomial is an expression consisting of variables and coefficients, that involves only the operations of addition, subtraction, multiplication and non-negative integer exponents of variables. √5 is a zero degree polynomial because it is just a constant. √x is not a polynomial **because it has a non-integer exponent**.

## Is square root 7 a polynomial?

In the given question we can see there is no variable and and a constant that is root 7 is given. For all constants the degree is always zero. Therefore **the degree for the polynomial root 7 is “zero”.**

## Do polynomials always have roots?

A polynomial of odd degree can have any number from 1 to n distinct real roots. This is of little help, except to tell us that **polynomials of odd degree must have at least one real root**.

## Is square root of 2 A polynomial?

We know that, √2 is a rational number as well as it is real number. Therefore, **the given expression is a polynomial**.

## What Cannot be a polynomial?

A polynomial cannot have any of the following: **A variable with a negative exponent**. Division by a variable (this can lead to negative exponents). A variable with a fractional exponent (unless the fraction reduces to a whole number).

## See some more details on the topic can a polynomial have a square root here:

### Polynomials: Their Terms, Names, and Rules Explained

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This section shows techniques to solve an equality that has a radical that can’t be simplified into a non radical form. This has potential drawbacks which is …

## Which expression Cannot be polynomial?

Polynomials cannot contain **fractional exponents**. Terms containing fractional exponents (such as 3x+2y1/2-1) are not considered polynomials. Polynomials cannot contain radicals. For example, 2y2 +√3x + 4 is not a polynomial.

## Is square root of 3 a polynomial?

**Root 3 is a polynomial** because a polynomial can be a constant value other than 0. Since, √3 is constant therefore it is a polynomial.

## Is root 5 a polynomial?

**√5 is a polynomial of degree**.

## How do you know if its a polynomial or not?

**All the exponents in the algebraic expression must be non-negative integers in order for the algebraic expression to be a polynomial**. As a general rule of thumb if an algebraic expression has a radical in it then it isn’t a polynomial. Let’s also rewrite the third one to see why it isn’t a polynomial.

### Why is it called a SQUARE root?

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## What considered polynomial?

Polynomials are **sums of terms of the form k⋅xⁿ, where k is any number and n is a positive integer**. For example, 3x+2x-5 is a polynomial. Introduction to polynomials.

## Can 10 be a polynomial?

By this definition, **the number 10 is technically not a polynomial**. However, people will often use the symbol 10 to denote the polynomial (10,0,0,…). This is an example of a symbol being “overloaded”, which happens sometimes in math.

## Is 7x root 7 is a polynomial?

Answer. Answer: (i) **All of them are polynomial**.

## Can 7 be a polynomial?

Answer. **7 is not a polynomial** because it is only one variable called monomial and polynomial means a equation which contains 4 variables.

## Can a polynomial have no zeros?

A polynomial function may have zero, one, or many zeros. All polynomial functions of positive, odd order have at least one zero, while **polynomial functions of positive, even order may not have a zero**. Regardless of odd or even, any polynomial of positive order can have a maximum number of zeros equal to its order.

## Can a polynomial have infinite roots?

**The only polynomial with infinitely many roots is P(x)=0**. You can prove this without appealing to the fundamental theorem of algebra.

## Do all polynomials have complex roots?

The Fundamental Theorem of Algebra states that **every polynomial of degree one or greater has at least one root in the complex number system** (keep in mind that a complex number can be real if the imaginary part of the complex root is zero).

## Which type of polynomial is √ 2?

Complete answer:

Here, in $\sqrt 2$ there is no variable term like $x$. It is only a constant term. These types of polynomials are called **Constant polynomials**.

## What is polynomial and not polynomial?

Identifying Polynomials

**The polynomials can be identified by noting which expressions contain only the operations of addition, subtraction, multiplication, and non-negative integer exponents**. The non-polynomial expressions will be the expressions which contain other operations.

### How to find the roots of a polynomials by factoring

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## Is x2 a polynomial?

Polynomials should have a whole number as the degree. Expressions with negative exponents are not polynomials. For example, **x ^{–}^{2} is not a polynomial**. Polynomials do not have variables in their denominator.

## Can a polynomial have a fraction?

**A polynomial can have fractions involving just the numbers in front of the variables (the coefficients), but not involving the variables**.

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