What is the degree of nth degree polynomial?

The Nth degree of a polynomial means the degree of the polynomial or the highest power of the variable in the polynomial is n . n takes whole numbers as its values.

Can a polynomial expression be solved?

We can solve polynomials by factoring them in terms of degree and variables present in the equation. A polynomial function is an expression which consists of a single independent variable, where the variable can occur in the equation more than one time with different degree of the exponent.

How do you solve for the degree of a polynomial?

Explanation: To find the degree of the polynomial, add up the exponents of each term and select the highest sum. The degree is therefore 6.

How can you determine whether a polynomial equation has a repeated solution?

The criterion is easy, if you just want to know whether the polynomial has a repeated root in the complex numbers.

1. If is a polynomial and denotes its (formal) derivative , that is.
2. then has repeated roots in the complex numbers if and only if the greatest common divisor between and has positive degree.

How do you solve the degree n for a polynomial?

The Factor Theorem tells you that if r is a root then (x−r) is a factor. But if you divide a polynomial of degree n by a factor (x−r), whose degree is 1, you get a polynomial of degree n−1.

What is the degree of cubic polynomial?

A cubic polynomial is a polynomial of degree 3.

How can we solve for the degree of a polynomial which has more than one variable?

Correct answer: When a polynomial has more than one variable, we need to find the degree by adding the exponents of each variable in each term. has a degree of 4 (since both exponents add up to 4), so the polynomial has a degree of 4 as this term has the highest degree.

Can a polynomial have repeated roots?

Whenever a part of the graph of a polynomial is in the form of a parabola whose vertex touches the x axis we conclude that a root is repeated at that point.