Terms that contain the same variable is called "like terms".
Those words refer to the degree, or highest exponent that modifies a variable, or the polynomial.Constant=No variables in the polynomialLinear=Variable raised to the first powerQuadratic=Variable raised to the second power (or "squared")Cubic=Variable raised to the third power (or "cubed")Quartic=Variable raised to the fourth powerQuintic=Variable raised to the fifth powerAnything higher than that is known as a "6th-degree" polynomial, or "21st-degree" polynomial. It all depends on the highest exponent in the polynomial. Remember, exponents modifying a constant (normal number) do not count.
Like terms
It depends on the power to which the single variable is raised in that one term.
Yes 6 is a polynomial, according to the Hawks Learning System.**a more detailed explanation**"A polynomial is defined as a term or a finite sum of terms, with only positive or zero integer exponents permitted on the variables" (Lial, Hornsby, Schneider; 2005)and "The product of a real number and one or more variables raised to powers is called a term" (Lial, Hornsby, Schneider; 2005)So since any variable raised to the zero power is 1, then 6x^0 is the same as 6x1, which equals 6.So yes, 6 is considered a polynomial.
Yes. You can tell by the fact that both variables are raised to the first power.
They are "like terms".
No. Like terms should contain the same variable or variables, raised to the same powers. Like terms are those that can be combined by addition or subtraction.
The statement is true only if either the number is 0, or the variables are all raised to the power 0. In no other case can a variable involved.
Yes, because they both contain the variable "x". y and 9x would not be like terms because they don't have the same variable. x and 9x2 would not be like terms because the variables are not raised to the same power.
It is the integral power of the number or the product of the number and variable(s). there is no special name.
A polynomial is a math expression that has a sum of terms, each of the terms include a variable or variables multiplied by a coefficient and raised to a power.
Those words refer to the degree, or highest exponent that modifies a variable, or the polynomial.Constant=No variables in the polynomialLinear=Variable raised to the first powerQuadratic=Variable raised to the second power (or "squared")Cubic=Variable raised to the third power (or "cubed")Quartic=Variable raised to the fourth powerQuintic=Variable raised to the fifth powerAnything higher than that is known as a "6th-degree" polynomial, or "21st-degree" polynomial. It all depends on the highest exponent in the polynomial. Remember, exponents modifying a constant (normal number) do not count.
because you cant raise a number negatively exponentially
In such cases, typicall different variables appear raised to different powers. You choose the smallest of such powers. If a variable only appears in one of the two expressions, you don't include it at all.
Yes. Both terms contain the same variables raised to the same power. The order of writing the two terms is immaterial since the arithmetical operation indicated by adjacency in variable is multiplication, and for any two numbers a and b, a X b = b X a.
A function of one variable is of the form y=f(x) where all you need to know in order to get values for y is the value of the independent variable, x. A function of two variables is of the form z=f(x,y) where you need to know the values of both x and y to get a value for z. A linear equation is simply and algebraic equation where all variables, regardless of how many there are, are raised to the power of one.
-- If the equation has only one variable (like 'x' or 'y'), and the only power of the variable anywhere in the equation is '1', then the equation has one solution. -- If the variable appears raised to powers higher than '1', then there are as many solutions as the highest power of the variable. -- If the equation has two or more variables, then there are an infinite number of solutions.