Differentiate it term by term.
Each term of a polynomial is of the form a*x^n where a is a constant and n is a non-negative integer.
So, the derivative of such a term is a*n*x^(n-1).
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.
It will be a cubic polynomial.
Yes, it can be considered a polynomial with one term.
It is a polynomial of degree one in x, and also a polynomial of degree one in y.
Basically, a rational expression is one that can be written as one polynomial, divided by another polynomial.
Yes. -4x is one, and 3y is one. They are combined with a "+" sign, and together they are a polynomial.
In the century before Linnaeus, plants and animals were given long, descriptive names (known as polynomials) to differentiate them. For example, the polynomial name of catnip was "Nepeta floribus interruptespicatus pendunculatis" (Nepeta with flowers in an interrupted pedunculated spike). There were no universally
None, except that they are functions of one or more variables.
A monomial is simply a special case of a polynomial - one with a single term.
To square an expression, multiply it by itself. And to multiply a polynomial by a polynomial, multiply each part of one polynomial by each part of the other polynomial.
No. A monomial (watch the spelling, please - only one "no") is a special case of a polynomial. A polynomial may have any number of terms; a monomial has exactly one term.