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What is the degree an algebraic ezpression?
The "degree" is only specified for polynomials. The degree of a monomial (a single term) is the sum of the powers of all the variables. For example, x3y2z would have the degree 6; you have to add 3 + 2 + 1 (since z is the same as z to the power 1). The degree of a polynomial is the degree of its highest monomial.
What is the highest power of a polynomial called?
degree of monomial
An expression must have a monomial of degree 2 or higher to be a polynomial?
False
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.
What is A polynomial of degree 1.?
That means that the monomial of the highest degree has a degree higher than 1. For example: x + 5 3x - 7 -27x + 8
When finding the product of monomial and binomial how is the degree of the product related to the degree of the monomial and the degree of binomial?
When finding the product of a monomial and a binomial, the degree of the resulting product is determined by adding the degree of the monomial to the highest degree of the terms in the binomial. Specifically, if the monomial has a degree (m) and the binomial has a highest degree (n), the degree of the product will be (m + n). Thus, the degree of the product is always the sum of the degrees of the monomial and the highest degree of the binomial.
What is the degree of this monomial 17x5y2?
The degree of a monomial is determined by the sum of the exponents of its variables. In the monomial (17x^5y^2), the exponent of (x) is 5 and the exponent of (y) is 2. Adding these exponents together, (5 + 2), gives a total degree of 7. Therefore, the degree of the monomial (17x^5y^2) is 7.
What is the sum of the exponents of the variables of a monomial is the of the monomial?
The degree of a term is the sum of the exponents on the variables.
What is degree of monomial?
The degree of a monomial is the sum of the exponents of its variables. For example, in the monomial (3x^2y^3), the degree is (2 + 3 = 5). If a monomial has no variables, such as the constant (7), its degree is considered to be (0).
What is the degree of momomial -7x4?
The degree of a monomial is determined by the exponent of its variable. In the case of the monomial (-7x^4), the exponent of (x) is 4. Therefore, the degree of the monomial (-7x^4) is 4.
The degree of a monomial is the sum of the exponents of the literal factors?
Correct.
The degree of a monomial is determined by the sum of the of all its variables?
No. The sum of the powers (or indices) of the variables. The powers MUST be integers. It is also important to remember that the power 1 may not be explicit. For example, degree of x3yz4 is 2+1+4 = 7
What is the degree of the monomial of 8xyz3?
The degree of a monomial is the sum of the exponents of its variables. In the monomial (8xyz^3), the exponents are 1 for (x), 1 for (y), and 3 for (z). Adding these together gives (1 + 1 + 3 = 5). Therefore, the degree of the monomial (8xyz^3) is 5.
How do you find the degree of a monomial?
By definition, a monomial has only one unknown independent variable, usually represented by a letter of the alphabet. The exponent immediately after that symbol for the unknown is the degree of the monomial.
What is the degree monomial of -5x10y3?
The degree of a monomial is the sum of the exponents of its variables. In the monomial (-5x^{10}y^{3}), the exponent of (x) is 10 and the exponent of (y) is 3. Adding these together gives (10 + 3 = 13). Therefore, the degree of the monomial (-5x^{10}y^{3}) is 13.
What is the monomial in one variable of degree 4?
A monomial in one variable of degree 4 is an expression that consists of a single term with a variable raised to the fourth power. An example of such a monomial is (5x^4), where 5 is the coefficient and (x) is the variable. The degree of the monomial is determined by the exponent of the variable, which in this case is 4.
How is the degree of a polynomial determined?
The Degree (for a polynomial with one variable) is the largest exponent of that variable.
