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What does it mean if a function is a polynomial?
It means that it has constants and variables that has a form of something like 7x2+2x+5 or something like that. Variables can not be used as exponents though, and exponents have to be whole numbers. Also, variables can not be a denominator.
What is a numbera variableor a number and variable multiplied togetherseparated by addition and subtraction called?
A number and a variable multiplied together, separated by addition and subtraction, is called a polynomial. In a polynomial, the variables can have non-negative integer exponents, and the coefficients can be any real numbers. For example, (3x^2 + 4x - 5) is a polynomial.
What is a number a variable or a product of numbers and variables raised to natural number powers?
A number is a specific value or quantity, while a variable represents an unknown or changing quantity, often denoted by letters like x or y. A product of numbers and variables raised to natural number powers is referred to as a polynomial. Polynomials consist of terms that can include constants (numbers), variables, and exponents that are whole numbers (non-negative integers). For example, (3x^2 + 2x + 1) is a polynomial where (3), (2), and (1) are coefficients, and (x) is the variable raised to the powers of 2 and 1.
What do you call the sum of two or more monomials or even one monomial whose exponents are whole numbers?
A polynomial.
What is alike of polynomials and nonpolynomial?
Polynomials and nonpolynomial expressions both represent mathematical functions and can be used to model relationships between variables. They share the property of being defined over real or complex numbers, and both can appear in equations and inequalities. However, polynomials consist solely of non-negative integer exponents on their variables, while nonpolynomials may include variables raised to fractional or negative exponents, transcendental functions, or other forms that do not fit the polynomial criteria.
What does it mean if a function is a polynomial?
It means that it has constants and variables that has a form of something like 7x2+2x+5 or something like that. Variables can not be used as exponents though, and exponents have to be whole numbers. Also, variables can not be a denominator.
When multiplying a number exponents that are squared do you add or multiply?
If the base numbers or variables are the same, you add the exponents.
What is the answer called when 2 or more polynomials are multipiled?
A polynomial is any number of the form Ax^n + Bx^n-1 + ... + c. So, multiplying numbers with exponents with any other numbers with exponents in polynomials only results in another, larger polynomial. Since this is multiplication, you could call the resultant polynomial a product.
What do you call the sum of two or more monomials or even one monomial whose exponents are whole numbers?
A polynomial.
When adding numbers with exponents do you add or subtract the exponents?
you do not do anything when you add numbers with exponents. you just figure out the answer. it is only if you multiply numbers with exponents, where you add the exponents..
What do you mean by polynomials?
A polynomial is any expression (i.e. no = sign) that is the sum of several monomials. Subtraction is ok, but to be a polynomial they can't be divided, and they can't be multiplied with parentheses. Polynomials: 5x+4xy; x2+3x-2; 42x-1. Not Polynomials: (10x)/2+4xy; x(x+3); 45. ---- A monomial is one or more numbers or variables multiplied together. For example, 5x, 23, x2, and 4a3b are monomials. The exponents must be natural numbers.
How do you find LCM with variables and exponents?
Example: 3x4y2 and 9x3y5 Treat the whole numbers normally. The LCM of 3 and 9 is 9. Choose the highest value of the variables. In this case, the LCM is 9x4y5
When adding numbers with fraction exponents do you add the exponents?
Fractional exponents follow the same rules as integral exponents. Integral exponents are numbers raised to an integer power.
The numbers that are expressed using exponents?
All numbers can be expressed using exponents.
How do you find the LCM of two monomials with variables and exponents?
Example: 3x4y2 and 9x3y5 Treat the whole numbers normally. The LCM of 3 and 9 is 9. Choose the highest value of the variables. In this case, the LCM is 9x4y5
How do you find the gcf and LCM of numbers with variables and-exponents?
For the greatest common factor, you check which variables appear in each of the expressions. In the case of exponents, you take the lowest exponent for each variable. For the least common multiple, you take each variable, whether it appears in all of the expressions involved, or only in some of them. In the case of the exponents, you take the greatest exponent for each variable. If there are numeric coefficients (numbers as products), you take either the gcf or the lcm of those in the usual way.
What are Numbers written without exponents?
Numbers written without exponents are called Standard Form.
