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Q: Is the polynomial 4x3 plus x plus 1 constant quintic cubic and quartic?
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What are quadratic polynomial quartic polynomial constant polynomial and quintic polynomial?

Those words refer to the degree, or highest exponent that modifies a variable, or the polynomial.Constant=No variables in the polynomialLinear=Variable raised to the first powerQuadratic=Variable raised to the second power (or "squared")Cubic=Variable raised to the third power (or "cubed")Quartic=Variable raised to the fourth powerQuintic=Variable raised to the fifth powerAnything higher than that is known as a "6th-degree" polynomial, or "21st-degree" polynomial. It all depends on the highest exponent in the polynomial. Remember, exponents modifying a constant (normal number) do not count.


What is a zero degree polynomial called?

a polynomial of degree...............is called a cubic polynomial


What are some similarities and differences between quartic and cubic functions?

The similarities are that they are polynomial functions and therefore continuous and differentiable.A real cubic will has an odd number of roots (and so must have a solution), a quartic has an even number of roots and so may have no solutions.


How do you name polynomials?

There are 2 ways to name a polynomial: by its degree (the highest power) and by the number of terms it has. Some of the most common names based on degree are: constant (meaning there is no variable--5 or 23, for instance; you could also realize that the variable is being raised to the 0 power), linear (the variable is raised to the first power--3x), quadratic (x2), cubic (x3), quartic (x4), and quintic (x5). Keep in mind that these terms could have any coefficients and any number of terms, just be sure you name it based on the highest power (ex: 3x4 + 5x3 - 2x is a quartic polynomial, whereas 3x4 + 5x3 - 2x5 would be a quintic polynomial). To name a polynomial based on the number of terms, make sure you've simplified it by combining all like terms, then count them up. If the polynomial has: 1 term--monomial (mono- means 1; like a monorail) 2 terms--binomial (bi- means 2; like a bicycle) 3 terms--trinomial (tri- means 3; like a triangle) 4 or more terms--just call it a polynomial, unless your teacher gives you more names (poly- means many; like a polygon). Keep in mind that these terms will often be used together: 3x4 + 5x3 - 2x is a quartic trinomial. (You may be thinking that I was wrong above where I called this same example a quartic polynomial--that was also correct, since monomial, binomial, and trinomial are all just more specific names for a polynomial)


What is the mathematical term for a polynomial with 3 terms in the 3rd degree?

A third degree polynomial is called a cubic - regardless of how many terms it has, it is named after the highest power.x3+ x - 1 is still a cubic, despite the lack of an x2term. Likewise, x2- 4 is still a quadratic, and x4- 2x is called a quartic.


What is a polynomial with four terms?

First off, it is NOT A QUINTIC! Typically a polynomial of four or more terms is called "a polynomial of n terms", where n is the number of terms. Only the one, two, and three term polynomials are referred to by a particular naming convention.


What is a synonym for third degree polynomial?

A cubic polynomial.


If you multiply a linear polynomial by a quadratic one what is the degree of the product polynomial?

It will be a cubic polynomial.


A quadratic polynomial is a third-degree polynomial?

No. A quadratic polynomial is degree 2 (2 is the highest power); a cubic polynomial is degree 3 (3 is the highest power).No. A quadratic polynomial is degree 2 (2 is the highest power); a cubic polynomial is degree 3 (3 is the highest power).No. A quadratic polynomial is degree 2 (2 is the highest power); a cubic polynomial is degree 3 (3 is the highest power).No. A quadratic polynomial is degree 2 (2 is the highest power); a cubic polynomial is degree 3 (3 is the highest power).


Is x3-27 equals 0 a quadratic equation?

No, it's a cubic equation. A quadratic equation contains, as its term raised to the highest power, a square. Example: x2. A cubic equation contains, as its term raised to the highest power, a cube. Example: x3. A quartic equation contains, as its term raised to the highest power, a term raised to the fourth power. Example: x4. Quintic, x5. And so, on.


Is the polynomial 6abc considered cubic?

No.


What is a polynomial to the third power called?

A cubic.