What is the best definition of a polynomial?

What is the best definition of a polynomial?

The definition of a polynomial is a mathematical formula or expression with several algebraic terms. An example of a polynomial is the mathematical expression 2x² + 4x³ + 3. noun. Polynomial is defined as something related to a mathematical formula or expression with several algebraic terms.

What is the classification of the polynomial?

Polynomials are classified according to their number of terms. 4×3 +3y + 3×2 has three terms, -12zy has 1 term, and 15 – x2 has two terms. As already mentioned, a polynomial with 1 term is a monomial. A polynomial with two terms is a binomial, and a polynomial with three terms is a trinomial.

Is the number 8 a polynomial?

8 is a Polynomial.

What is the type of a polynomial?

Based on the number of terms in a polynomial, there are 3 types of polynomials. They are monomial, binomial and trinomial. Based on the degree of a polynomial, they can be categorized as zero or constant polynomials, linear polynomials, quadratic polynomials, and cubic polynomials.

What is the definition of polynomial in one variable?

Polynomials in one variable are algebraic expressions that consist of terms in the form axn a x n where n is a non-negative (i.e. positive or zero) integer and a is a real number and is called the coefficient of the term. The degree of a polynomial in one variable is the largest exponent in the polynomial.

What is polynomial class8?

A polynomial is defined as an expression which is composed of variables, constants and exponents, that are combined using the mathematical operations such as addition, subtraction, multiplication and division (No division operation by a variable).

What is not considered a 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 the difference of two polynomials always a polynomial?

The difference of two polynomials will always be a polynomial because subtracting like terms of the form results in more terms of the form . The student may show that for any two terms and (where a and b are real numbers and n is a whole number), .

What makes a polynomial function?

A polynomial function is a function comprised of more than one power function where the coefficients are assumed to not equal zero. The term with the highest degree of the variable in polynomial functions is called the leading term. All subsequent terms in a polynomial function have exponents that decrease in value by one.

What does polynomial equation Mean?

Polynomial Equations. A Polynomial can be expressed in terms that only have positive integer exponents and the operations of addition, subtraction, and multiplication. In other words, it must be possible to write the expression without division.

What is the polynomial expression?

In mathematics, a polynomial is an expression consisting of variables (also called indeterminates) and coefficients, that involves only the operations of addition, subtraction, multiplication, and non-negative integer exponents of variables. An example of a polynomial of a single indeterminate, x, is x 2 − 4x + 7.