A polynomial is an algebraic expression that has a maximum power of a non-negative integer or fraction. The answer to the question “Which algebraic expression is a polynomials with a degree of 4?” is c). However, a polynomial with a power of 4 is not a polynomial with a higher degree.
c) 9×4 – x3 – x/5
In algebra, a polynomial has a degree of 4 if the variable in its denominator has a degree of 2. When the degree of a polynomial is zero, then it does not have a degree. Similarly, a polynomial with a negative degree is not a polynomial. The degree of a polynomial is equal to the sum of its factors.
To determine the degree of a polynomial, you need to first determine the number of terms in the polynomial. Then, determine the leading term. The leading term in a polynomial is the highest power of the variable. For example, in the expression 6×2, the leading coefficient is eight. Similarly, in the polynomial 7×2, the leading term is two. Finally, it has a no-variable term at the end.
Polynomials with four terms are called quintic polynomials. Their names are based on Latin ordinal and distributive numbers. The names for polynomials with five terms are called binomial and quadratic. In the following examples, we will show the relationships between degrees.
The degree of a polynomial is equal to the sum of its components. Thus, f(x) is a polynomial with degree 4. Its degree is the product of its components. In addition, the degree of the polynomial is equal to n – 1.
The degree of a polynomial is equal to the sum of the exponents of each variable in the term. A polynomial with a degree of four has four exponents. It is the highest exponent among all polynomials with two variables.
In algebra, polynomials can be expressed in standard form by combining like terms. A binomial with a degree of 4 is a polynomial with four terms. Its coefficient can be either pi or 10z to the 15th power.
What are the other terms of polynomials? In general, polynomials are combinations of terms with constants, variables, and exponents. The variable in the expression must have a whole-number exponent. In addition, polynomials can be categorized according to their degree. The highest degree term is the greatest exponent of a polynomial.
First, consider the degree of the variable in the denominator. If it is two, the degree of the variable in the numerator is also two. Therefore, we can subtract one from two and get 1. So, the answer is 1.
Another way to consider a polynomial with degree four is to see what other terms in it are. A polynomial with four terms will have one fifth-degree term, a third-degree term, and one constant term. If there is one missing term, then it is a binomial with degree four. This polynomial will also have an exponent that is not on the variable.
The degree of a polynomial is the sum of the exponents of all its terms. For example, x2y3 + 4xy3 = 7 has a degree of 4, which means it is a quadratic polynomial.
The term polynomial comes from the Latin word poly, which means “many.” A polynomial consists of any number of terms. A variable must have a whole-number exponent. Polynomials can be classified according to their degrees. The highest-degree term is called the leading term. The higher degree term is the exponent, while the lowest-degree term is called the denominator.
The degree of a polynomial is the power of the variable. If f is the leading term, then deg is the second term. A second-degree polynomial has a third-degree term. And so on.