# Which of the following are polynomials

## Which are the following are polynomials?

( c) Now , x2+3×32√x=x2+3×32-12=x2+3×22=x2+3x, it is a polynomial because exponent of x is a whole number.

## What are polynomials examples?

A polynomial is an expression that consists of variables (or indeterminate), terms, exponents and constants. For example,

**3x**is a polynomial.^{2}-2x-10## Which of the following are polynomials function?

## Is 7 is a polynomial?

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

## What are polynomials Class 9?

Polynomial Definition. Polynomials are

**expressions with one or more terms with a non-zero coefficient**. A polynomial can have more than one term. In the polynomial, each expression in it is called a term. Suppose x^{2}+ 5x + 2 is polynomial, then the expressions x^{2}, 5x, and 2 are the terms of the polynomial.## Which of the following is a polynomial equation?

Example of a polynomial equation is:

**2x**, where 2x^{2}+ 3x + 1 = 0^{2}+ 3x + 1 is basically a polynomial expression which has been set equal to zero, to form a polynomial equation.## What is polynomial equation?

A polynomial equation is

**an equation that has multiple terms made up of numbers and variables**. Polynomials can have different exponents. The degree of a polynomial is its highest exponent. The degree tells us how many roots can be found in a polynomial equation.## What are the parts in polynomial function?

Important parts of a polynomial function include

**the degree, the leading term, the leading coefficient, and the constant term**.## How do you find a polynomial?

If a polynomial of lowest degree p has zeros at x=x1,x2,…,xn x = x 1 , x 2 , … , x n , then the polynomial can be written in the factored form: f(x)=a(x−x1)p1(x−x2)p2⋯(x−xn)pn f ( x ) = a ( x − x 1 ) p 1 ( x − x 2 ) p 2 ⋯ ( x − x n ) p n where the powers pi on each factor can be determined by the behavior of the graph …

## What are the types of polynomial functions?

The four most common types of polynomials that are used in precalculus and algebra are zero polynomial function,

**linear polynomial function, quadratic polynomial function, and cubic polynomial function**.## How do you identify polynomials?

Polynomials can be classified by

**the degree of the polynomial**. The degree of a polynomial is the degree of its highest degree term. So the degree of 2×3+3×2+8x+5 2 x 3 + 3 x 2 + 8 x + 5 is 3. A polynomial is said to be written in standard form when the terms are arranged from the highest degree to the lowest degree.## What is polynomial and not 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. A graph of a polynomial of a single variable shows nice curvature.## Which of the following is not a polynomial?

Answer (D) x + 3/x

+ a_{n}x^{n}, where a_{n} ≠ 0, is called a polynomial in x of degree n. Here, a_{0}, a_{1}, a_{2}, ……, a_{n} are real numbers and each power of x is a non-negative integer. Hence, **x + 3/x** is not a polynomial.

## What degree is a polynomial?

The degree of a polynomial is

**the highest power of x which appears in it**. For example, the degree of 7−5x+4×2 is 2, as the highest power of x which appears is x2. The degree of a constant polynomial (such as 7) is zero, as the polynomial can be thought of as 7×0.## What type of polynomial is this?

Types of Polynomials Based on Degree

Type of Polynomial | Meaning | Examples |
---|---|---|

Quadratic polynomial | Polynomials with 2 as the degree of the polynomial are called quadratic polynomials. | 8x^{2} + 7y – 9, m^{2} + mn – 6 |

Cubic polynomial | Polynomials with 3 as the degree of the polynomial are called cubic polynomials. | 3x^{3}, p^{3} + pq + 7 |

## Why 5 is a polynomial?

(Yes, “5” is a polynomial,

**one term is allowed**, and it can be just a constant!) 3xy^{–}^{2}is not, because the exponent is “-2” (exponents can only be 0,1,2,…)## Is a 8 a polynomial?

8 is

**a Polynomial**.## What is a polynomial class 10?

A polynomial is

**made up of terms that are only added, subtracted or multiplied**. A quadratic polynomial in x with real coefficients is of the form ax² + bx + c, where a, b, c are real numbers with a ≠ 0. Degree – The highest exponent of the variable in the polynomial is called the degree of polynomial.## Which polynomials are in standard form?

A polynomial is said to be in its standard form, if it is expressed in such a way

**that the term with the highest degree is placed first, followed by the term which has the next highest degree**, and so on. For example: \(14 x^{4}– 5x^{3}– 11x^{2}– 11x + 8.