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A polynomial is really an algebraic expression that consists of two or more monomials. A monomial is a number, a variable, or a product of a number with non-negative exponents. Some examples of polynomials are:
2x+3y-1;3bc+7cd-y;7mny-my+n
To be exact, polynomials is any expression with the lowest power of unknown as 0 or more. 6z+5, 5x4+9x-1 are some examples of polynomials. However, if the unknown is in the denominator, it is not a polynomial. Also, if the expression has a negative power like 3-2, it will become a fraction when you remove the negative sign (3-2 = 1/32).-42 is a polynomial because it is also -42x0 except that people do not need to write the x0 since x0 = 1 and when you multiply -42x0, it still ends up becoming -42.
Wiki User
∙ 12y ago
Wiki User
∙ 9y agowhen the co-efficient of variable in each term is a real number and the exponent of variable in each term is a whole number.
A polynomial can have constants (like 3, -20) variables (like x and y) exponents (like the 2 in y2) that can be combined using addition, subtraction, multiplication and division.It is important to keep in mind that except division by a variable (so something like 2/x).
Also, polynomials of a variable are easy to graph, as they have smooth and continuous lines.
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How can i Differentiate between an algebraic expression and polynomial?
A polynomial is always going to be an algebraic expression, but an algebraic expression doesn't always have to be a polynomial. An algebraic expression is an expression with a variable in it, and a polynomial is an expression with multiple terms with variables in it.
Are all algebraic expression a polynomial expression?
Not really.For example: x can be considered and algebraic expression by itself, however it is only a single variable, so by definition it is not a polynomial expression (multiple-number expression).
When can an algebraic expression be called polynomial?
if it has parentheses
What are the terms in algebraic expression?
monomial binomial trinomial polynomial
What algebraic expression has no like terms and no parentheses?
A polynomial is one possible answer.
Differentiate of polynomial and algebraic expression?
A polynomial is always going to be an algebraic expression, but an algebraic expression doesn't always have to be a polynomial. In another polynomial is a subset of algebraic expression.
How can i Differentiate between an algebraic expression and polynomial?
A polynomial is always going to be an algebraic expression, but an algebraic expression doesn't always have to be a polynomial. An algebraic expression is an expression with a variable in it, and a polynomial is an expression with multiple terms with variables in it.
Are all algebraic expression a polynomial expression?
Not really.For example: x can be considered and algebraic expression by itself, however it is only a single variable, so by definition it is not a polynomial expression (multiple-number expression).
When is an algebraic expression considered as a non-polynomial expression?
An expression is non polynomial if it has : negative exponent fractional exponent variable exponent in the radicand
What is the basic difference between algebraic expression and polynomial?
A polynomial is a type of algebraic expression. They differ in the number of terms that contain variables. An algebraic expression has at least 1 variable, while a polynomial has multiple terms with variables in it.
Is polynomial an algebraic expression?
Yes.
Are all polynomial an algebraic expression?
Yes
When can an algebraic expression be called polynomial?
if it has parentheses
Is there any difference between an algebraic expression and a polynomial?
Yes
What is an expression that completely divides a given polynomial?
It is an algebraic factor.
What are the terms in algebraic expression?
monomial binomial trinomial polynomial
Is matrix polynomial and polynomial matrix same?
No. A matrix polynomial is an algebraic expression in which the variable is a matrix. A polynomial matrix is a matrix in which each element is a polynomial.
