Not necessarily. If the exponent is not an integer then it is not a 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.
Yes
true
Not necessarily. Every exponent in the exponent must be a non-negative integer. This is not what you have specified. For example, if n = 3.5, it is not a term in a polynomial expression.
(2x - 9)(2x - 9)
The expression is likely 4x2 - 36x +81 which is the same as (2x - 9)(2x - 9) or (2x - 9)2
It is a polynomial (monomial). It is a polynomial (monomial). It is a polynomial (monomial). It is a polynomial (monomial).
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.
4x2-36x+81 (2x-9)(2x-9)
The reciprocal of any number or expression is 1 divided by that number or expression. So, the reciprocal of 4x2 - 5x - 3 is simply 1 / (4x2 - 5x - 3).The reciprocal of any number or expression is 1 divided by that number or expression. So, the reciprocal of 4x2 - 5x - 3 is simply 1 / (4x2 - 5x - 3).The reciprocal of any number or expression is 1 divided by that number or expression. So, the reciprocal of 4x2 - 5x - 3 is simply 1 / (4x2 - 5x - 3).The reciprocal of any number or expression is 1 divided by that number or expression. So, the reciprocal of 4x2 - 5x - 3 is simply 1 / (4x2 - 5x - 3).
Both - a polynomial expression, if you like.
4x2 - 36x + 81 = 4x2 - 18x - 18x +81 = 2x(2x - 9) - 9(2x - 9) = (2x - 9)2
The discriminant is 0.
(4x + 5)(x - 3)
zero