0
What else can I help you with?
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).
Which algebraic expression is a polynomial with a degree of 4?
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.
What are the steps to solve these problems Find the degree of each polynomial 5a-2b2 plus 1 and 24xy-xy3 plus x2?
The degree of a polynomial function is the highest power any single term is raised to. For example, (5a - 2b^2) is a second degree function because the "b^2" is raised to the second power and the "a" is only raised to the (implied) first power. For (24xy-xy^3 + x^2) it is a third degree polynomial because the highest power is the cube of -xy.
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.
Is 18 a monomial or polynomial?
A single term, so monomial.
How do you find the degree of a polyomial?
For a single variable, the degree is the highest power that appears in the polynomial.
What is meant by the degree of a monomial and polynomial?
The degree is the highest power of the variable that appears in it.(x2 + x + 9) is a second degree polynomial(Q4 - 72) is a fourth degree polynomial( z ) is a first degree monomialSo the degree of a polynomial in one variable is the highest power of the variable.For example, [ 2x3 - 7x ] has degree 3.The degree of a polynomial in two or more variables is the greatest sum of theexponents in any single term.For example, [ 5m3 + m2n - mn2 ] has degree 4.And a degree of a monomial is the sum of the exponents of its variables.For example, [ 4a2b3 ] has degree 5.
How do you identify the polynomials of degree one?
The degree of a polynomial is determined by the highest degree of the terms within it, and the degree of the terms is determined by the power of the variable and the amount of variables in it.For example, the term 3x has a degree of one, as does 5y. However when there is more than one variable you add the degrees together, so 4xy has a degree of 2, not 1. Any single variable to the 2nd power e.g. 8x2 also has a degree of 2.So a polynomial of one degree is a polynomial where each of its terms only have one variable to the first power so 5+x is to one degree, as is 1+2x+3y+4z despite having more than one variable in the expression.
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).
What is a monomial or sum of monomials?
a single polynomial it only has one variable
Which algebraic expression is a polynomial with a degree of 4?
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.
Are all algebraic expression a polynomial expression?
Not really.For example: x can be considered and algebraic expression by itself, however it is only a single variable, so by definition it is not a polynomial expression (multiple-number expression).
How do you put a polynomial in standard form?
For a polynomial in a single variable you start with the term containing the highest power of that variable and then follow with the next highest power and so on. For polynomials is several variables, you first group them by the sum of the powers of all the variables (remember that y is y^1). Then, you order each group by the power of one variable, then another variable and so on.
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.
Is y3 a polynomial?
Yes, ( y^3 ) is a polynomial. A polynomial is defined as a mathematical expression that consists of variables raised to non-negative integer powers, along with coefficients. In this case, ( y^3 ) has a single variable ( y ) raised to the power of 3, which is a non-negative integer. Thus, it fits the definition of a polynomial.
How can you know that a term is polynomial?
A [single] term cannot be polynomial.
What are examples of polynomial terms?
Polynomial terms are expressions that consist of a coefficient and a variable raised to a non-negative integer exponent. Examples include (3x^2), (-5y^3), and (7z) (which can be considered as (7z^1)). A single constant, like (4), is also a polynomial term since it can be viewed as (4x^0).
