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How is the degree of a polynomial determined?

The Degree (for a polynomial with one variable) is the largest exponent of that variable.


What is the smallest degree a polynomial can have?

The smallest is 0: the polynomial p(x) = 3, for example.


What does the word degree refer to in a polynomial?

The Degree (for a polynomial with one variable, like x) is the largest exponent of that variable.


What is a polynomial with a degree of three?

The degree of a polynomial refers to the largest exponent in the function for that polynomial. A degree 3 polynomial will have 3 as the largest exponent, but may also have smaller exponents. Both x^3 and x^3-x²+x-1 are degree three polynomials since the largest exponent is 4. The polynomial x^4+x^3 would not be degree three however because even though there is an exponent of 3, there is a higher exponent also present (in this case, 4).


How can we say that a polynomials is written in descending and ascending order?

A polynomial is written in descending order when its terms are arranged from the highest degree to the lowest degree. For example, (4x^3 + 2x^2 - x + 5) is in descending order. Conversely, a polynomial is in ascending order when its terms are organized from the lowest degree to the highest degree, such as (5 - x + 2x^2 + 4x^3). In both cases, the coefficients of each term remain associated with their respective powers of the variable.


What is the first term of each polynomial?

The first term of a polynomial is the term with the highest degree, typically written in standard form. For example, in the polynomial (3x^4 + 2x^3 - x + 5), the first term is (3x^4). If a polynomial has multiple terms, the first term is determined by the term with the largest exponent of the variable. If the polynomial is expressed in descending order, the first term is simply the first term listed.


What degree of polynomial will be produced by multiplying a third degree polynomial and a fourth degree polynomial?

seventh degree polynomial x3 times x4 = x7


What is the degree of the polynomial 2st4 plus s2t2 - 9s5t plus 21?

2st4 + s2t2 - 9s5t + 21 The degree of a polynomial with more than one variable is the largest sum of the powers in any single term. So the degree of the given polynomial is 6 (-9s5t1; 5 + 1).


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).


What type of polynomial is formed by adding a second degree binomial to a fourth degree monomial. State the degree of this polynomial?

A fourth degree polynomial.


The greater degree of the terms in a polynomial is called?

The degree of the polynomial.


What is this polynomial's degree?

The degree of a polynomial is the highest power of the variable.