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What else can I help you with?
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.
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
How to identify polynomial?
It is an expression with one variable, which is a linear combination of integral powers of that variable.In simpler words, a polynomial in a variable x consists of a sum of a number of terms of the form axn where a is a number, called the coefficient and n is a positive integer.
Can a polynomial have a variable exponent?
No. An expression can have a variable exponent (for instance, 2 to the power x, or x to the power y), but that is no longer a 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.
How do you find the dimensions of a polynomial?
It is the highest power of the variable in the expression.
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).
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.
How do you identify the degree on a polynomial?
The degree of a polynomial is identified by determining the highest exponent of the variable in the polynomial's expression. For example, in the polynomial (2x^3 + 4x^2 - x + 5), the highest exponent is 3, so the degree is 3. If the polynomial is a constant (like 5), its degree is 0, and if it's the zero polynomial, it's often considered to have no degree.
Is a polynomial with square root a polynomial?
It is a polynomial if the square root is in a coefficient but not if it is applied to the variable. A polynomial can have only integer powers of the variable. Thus: sqrt(2)*x3 + 4*x + 3 is a polynomial expression but 2*x3 + 4*sqrt(x) + 3 is not.
What is expression of the polynomial degree of 1?
An expression of polynomial degree 1 is a linear polynomial, typically written in the form ( ax + b ), where ( a ) and ( b ) are constants, and ( a \neq 0 ). The highest power of the variable ( x ) in this expression is 1, indicating that the graph of this polynomial is a straight line. Examples include ( 2x + 3 ) and ( -5x - 1 ).
Is 5r plus 9r polynomial?
No. A polynomial is an expression of more than two algebraic terms, and usually contains different powers of the same variable.
