Which algebraic expression has a degree of four? The answer is option (c). However, option (d) does not meet the definition of a polynomial, because the variable in that expression has negative power. So, option (c) must be correct.
9×4 – x3 – x/5
A polynomial is a number that has more than one term. The degree of the polynomial is a factor of the degree of its highest term. The degree of a polynomial can be any number between one and four. A polynomial with a degree of four is known as a quadrinomial.
A polynomial with four terms contains a fifth-degree term, a third-degree term, and a constant term. The first term contains the greatest power of the variable. The leading term contains the coefficient 2 and is called the leading term. The last term is a constant term.
Which algebraic expression is a polynomic expression with a degree of 4? comes to mind when the degree of a polynomial is four. This expression would be a polynomial with a fourth degree, but would be incorrect because it violates the definition of a polynomial. Therefore, the correct answer is option (C).
In algebra, the polynomial degree refers to the highest power of the variable in the polynomial. In other words, it indicates the highest exponential power of a polynomial. For example, x – 2 + 4 = 26. A polynomial with a degree of four is a quadratic polynomial.
The degree of a polynomial can be a constant or a variable. A constant is called a coefficient. The degree of a polynomial is determined by the largest term. The greatest term is called the exponent.
A polynomial in two variables has two terms, axnym and bx. Its degree is the largest sum of its exponents. It is a monomial, a binomial or a trinomial, or a quadratic polynomial.
X + 2 is a polynomial with X. Similarly, 5×2 – x + 1 is a polynomial. However, 3×3 + 4x+5/x + 6×3/2 is a non-polynomial. In algebra, a polynomial can have any number of terms, while a monomial has only one term.
A polynomial with a degree of four is known as a monomial. Its highest exponent is three. Its lowest exponent is zero. Its degree is derived by summing up all of the exponents within the monomial.
The polynomial with a degree of four has two degrees. The degree of a polynomial with degree of four is called a polynomial over a ring with n elements. The degree of a polynomials over arbitrary rings is not necessarily degree-preserving. If the degree of a polynomial is zero, it is known as undefined.
x5 – 6×4 + 14×3 + x2
An algebraic expression with degree four has four terms, one of which is the largest power of the variable. If the variable has a negative power, the expression is not a polynomial. The answer to this question is option (c).
If a polynomial is multivariable, the degree of each term is a helpful way to check if it is homogeneous. When the degree of all terms is equal, the polynomial is homogeneous. Otherwise, it is not homogeneous.
A polynomial with four terms is called a quadrinomial. For example, x3+3×2+y+5 is a quadrinomial. Similarly, 10×2 + 3×4+5=10 is a quadrinomial.
Basically, the degree of a polynomial is the largest exponent in the polynomial. If the polynomial has only one variable, the highest exponent is 3. If there are multiple variables, the polynomial’s degree is the sum of its exponents. For example, x2y3 + 4xy2 – 3xy has a degree of 5.
The first step in solving an algebraic expression is to define the type of polynomial. Polynomials can be monomial, binomial, or trinomial. If the degree of the variable is zero, it is not a polynomial.
Another method to identify a polynomial with a higher degree is to look up its name. For example, a cubic polynomial is a trinomial, whereas a quadratic polynomial has four terms.
A polynomial with a degree of four can have many different forms. For example, it may have a leading coefficient, an exponent, or both. It may also have a leading term and a constant. If the variables are in ascending order, the polynomial with the highest degree is a quadratic polynomial.
In addition to the coefficient, the degree of a polynomial is a product of two variables or a number. Its degree can be positive or negative, and it is equal to the product of the two terms. When calculating the degree of a polynomial, it is important to remember that the lowest term is called the constant term, while the highest term is the highest degree.
Which algebraic expression has the greatest degree of four? involves division, addition, and multiplication. It can also contain fractions. For instance, 5-2 can be simplified to 1/52 or 1/25. Anything to the negative is not in the simplest form. The degree of four in a polynomial is equal to the product of the first and third terms.
In an algebraic expression, the degree is the number of degrees. The degree of a polynomial depends on the number of degrees. Therefore, a polynomial with a four-digit degree is a polynomial with n equals four.