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.
Basically, a rational expression is one that can be written as one polynomial, divided by another polynomial.
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).
If a polynomial expression is derived from a word problem it has the same meaning as the word problem. Polynomial expressions that represent scientific laws have the specific meaning of that law.
No.
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.
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.
Both - a polynomial expression, if you like.
A polynomial expression is one with a degree higher than 0. Hence, all constants will meet your criterion. Note that (x+2) or [sin(2x)+4] is a polynomial of degree 1. The following is a trivial (normally ignored; inconsequential) non-polynomial: (5x2 - 2x2 - 3x2 + 2) ======================================
Not necessarily. If the exponent is not an integer then it is not a polynomial.
An expression is non polynomial if it has : negative exponent fractional exponent variable exponent in the radicand
Basically, a rational expression is one that can be written as one polynomial, divided by another polynomial.
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.
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).
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.
If a polynomial expression is derived from a word problem it has the same meaning as the word problem. Polynomial expressions that represent scientific laws have the specific meaning of that law.
Yes.