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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.
When a polynomial is divided by one of its binomial factors what is the quotient called?
When a polynomial is divided by one of its binomial factors, the quotient is called the "reduced polynomial" or simply the "quotient polynomial." This resulting polynomial represents the original polynomial after removing the factor, and it retains the degree that is one less than the original polynomial.
Division of polynomial by a polynomial?
Can be done.
