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A Polynomial is any algebraic expression that consists of more than 2 terms in which the only allowable exponents are whole numbers, the variable is never used as a divisor and never appears under a radical sign. Technically, many consider polynomials to consist of 4 terms or more because 2 and 3 term equations are named.
- Monomial (One term): 3w
- Binomial (Two terms): 3w - 4x
- Trinomial (Three terms): 3w - 4x + 6y
- Polynomial (2-3+ terms): 3w - 4x + 6y + 7z
In algebra class, it is usually written in the form of a function f such as:
f(x) = 3x2 + 4x1 + 1x0 = 3x2+4x+1
Any value of x for which f(x) = 0 is a root of the equation and a zero of the function.
A polynomial is a finite length expression constructed from variables (also known as indeterminates) and constants, by using the operations of addition, subtraction, multiplication, and constant non-negative whole number exponents. For example, x2 − 4x + 7 is a polynomial, but x2 − 4/x + 7x3/2 is not, because its second term involves division by the variable x and also because its third term contains an exponent that is not a whole number.
What else can I help you with?
Is this a polynomial or binomial or trinomial 4x2?
It is a polynomial (monomial). It is a polynomial (monomial). It is a polynomial (monomial). It is a polynomial (monomial).
What is the difference between polynomial and non polynomial time complexity?
Polynomial vs non polynomial time complexity
Is a log of a polynomial still a polynomial?
No.
How alike the polynomial and non polynomial?
"Non-polynomial" can mean just about anything... How alike it is with the polynomial depends on what specifically you choose to include.
What are the roots of polynomial?
The "roots" of a polynomial are the solutions of the equation polynomial = 0. That is, any value which you can replace for "x", to make the polynomial equal to zero.
Is this a polynomial or binomial or trinomial 4x2?
It is a polynomial (monomial). It is a polynomial (monomial). It is a polynomial (monomial). It is a polynomial (monomial).
How do you answer polynomial?
You can evaluate a polynomial, you can factorise a polynomial, you can solve a polynomial equation. But a polynomial is not a specific question so it cannot be answered.
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.
What is the difference between polynomial and non polynomial time complexity?
Polynomial vs non polynomial time complexity
Is a log of a polynomial still a polynomial?
No.
What is a polynomial divided by a polynomial?
monomial
How alike the polynomial and non polynomial?
"Non-polynomial" can mean just about anything... How alike it is with the polynomial depends on what specifically you choose to include.
What is the difference in evaluating a polynomial and solving a polynomial?
Evaluating a polynomial is finding the value of the polynomial for a given value of the variable, usually denoted by x. Solving a polynomial equation is finding the value of the variable, x, for which the polynomial equation is true.
If you multiply a linear polynomial by a quadratic one what is the degree of the product polynomial?
It will be a cubic polynomial.
What are the roots of polynomial?
The "roots" of a polynomial are the solutions of the equation polynomial = 0. That is, any value which you can replace for "x", to make the polynomial equal to zero.
Division of polynomial by a polynomial?
Can be done.
Is a binomial a polynomial?
yes a binomial is a polynomial
