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A polynomial is made up of one or several monomials (terms added or subtracted together). The term with the highest degree should have a degree of 4. To get the degree, if it's a single variable, the degree is the power to which it is raised; if there are several variables, add all the powers together.
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What are two polynomial functions whose quotient will have the same degree as the divisor?
For example, if you divide a polynomial of degree 2 by a polynomial of degree 1, you'll get a result of degree 1. Similarly, you can divide a polynomial of degree 4 by one of degree 2, a polynomial of degree 6 by one of degree 3, etc.
What is the differences between an algebraic expression and an algebraic equation?
an algebraic expression has no = sign. it could be like x+4, but an equation has to have an = sign. like x+4=5
How can you find a degree in a polynomial?
The degree of a polynomial is the highest degree of its terms. The degree of a term is the sum of the exponents of the variables that appear in it.7x2y2 + 4x2 + 5y + 13 is a polynomial with four terms. The first term has a degree of 4, the second term has a degree of 2, the third term has a degree of 1 and the fourth term has a degree of 0. The polynomial has a degree of 4.
What is base in algebraic expression?
The Base in the Algebraic Expression can be a Number or A Variable. EX. 42 or X2 - 4 and X are the base.
What is the definition of degree of the polynomial?
The degree of a polynomial is the highest degree of its terms.The degree of a term is the sum of the exponents of the variables.7x3y2 + 15xy6 + 23x2y2The degree of the first term is 5.The degree of the second term is 7.The degree of the third term is 4.The degree of the polynomial is 7.
What kind of polynomial is -3-4?
The expression (-3 - 4) simplifies to (-7), which is a constant. A constant can be considered a polynomial of degree 0, as it does not contain any variables. Therefore, (-3 - 4) represents a polynomial of degree 0.
What is The largest exponent which is shown in a polynomial is?
The largest exponent in a polynomial is referred to as its degree. The degree of a polynomial indicates the highest power of the variable present in the expression. For example, in the polynomial (3x^4 + 2x^3 - x + 7), the degree is 4, corresponding to the term (3x^4). The degree plays a crucial role in determining the polynomial's behavior and the number of possible roots.
What is the degree of 12x4-8x plus 4x2-3?
The degree of a polynomial is determined by the highest exponent of its variable. In the expression (12x^4 - 8x + 4x^2 - 3), the term with the highest exponent is (12x^4), which has a degree of 4. Therefore, the degree of the polynomial is 4.
What is the degree of x4 and ndash 3x plus 2?
The expression ( x^4 - 3x + 2 ) contains three terms: ( x^4 ), ( -3x ), and ( 2 ). The degree of a polynomial is determined by the highest power of the variable ( x ) present in the expression. In this case, the term ( x^4 ) has the highest degree, which is 4. Therefore, the degree of the polynomial ( x^4 - 3x + 2 ) is 4.
What is an example of an expression that is not a polynomial?
A polynomial expression is one with a degree higher than 0. Hence, all constants will meet your criterion. Note that (x+2) or [sin(2x)+4] is a polynomial of degree 1. The following is a trivial (normally ignored; inconsequential) non-polynomial: (5x2 - 2x2 - 3x2 + 2) ======================================
What is the Classification of 7x plus 9x plus 4?
The expression (7x + 9x + 4) can be classified as a polynomial. Specifically, it is a first-degree polynomial or linear polynomial because the highest power of the variable (x) is 1. By combining like terms, it simplifies to (16x + 4).
What is the degree of an expression?
The degree of an expression, particularly in the context of polynomials, refers to the highest power of the variable within that expression. For example, in the polynomial (3x^4 + 2x^2 - x + 5), the degree is 4 because the term with the highest exponent is (3x^4). In general, for expressions that are not polynomials, the concept of degree may vary or not apply in the same way.
What are the kind of polynomial according to the number of degree?
Polynomials are classified based on their degree as follows: a polynomial of degree 0 is a constant polynomial, of degree 1 is a linear polynomial, of degree 2 is a quadratic polynomial, of degree 3 is a cubic polynomial, and of degree 4 is a quartic polynomial. Higher degree polynomials continue with quintic (degree 5), sextic (degree 6), and so on. The degree indicates the highest exponent of the variable in the polynomial.
Is the highest degree of any of the terms in the polynomial?
Yes, in a polynomial, the highest degree is determined by the term with the greatest exponent on its variable. For example, in the polynomial (3x^4 + 2x^2 - 5), the highest degree is 4, which comes from the term (3x^4). The degree of a polynomial is significant as it influences the polynomial's behavior and the number of roots it can have.
At most how many unique roots will a fourth degree polynomial have?
4, the same as the degree of the polynomial.
What phrase bests describes the algebraic expression 13x-4?
17
What are two polynomial functions whose quotient will have the same degree as the divisor?
For example, if you divide a polynomial of degree 2 by a polynomial of degree 1, you'll get a result of degree 1. Similarly, you can divide a polynomial of degree 4 by one of degree 2, a polynomial of degree 6 by one of degree 3, etc.
