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Terms that contain the same variable with corresponding variables raised to the same power?

Terms that contain the same variable is called "like terms".


Is a number a variable or the product of a number and one or more variables raised to whole number powers?

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.


Like terms have the same variable but may be raised to different powers?

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.


What is a number variable or the product of a number and one more variables raised to whole number powers?

It is the integral power of the number or the product of the number and variable(s). there is no special name.


What is polynomia?

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.


What are quadratic polynomial quartic polynomial constant polynomial and quintic polynomial?

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.


How do you find the GCF of two numbers with variables?

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.


Is 12x and 14y like terms?

No, 12x and 14y are not like terms. Like terms are terms that have the same variable raised to the same power. In this case, 12x has a variable x raised to the first power, while 14y has a variable y raised to the first power. Since the variables are different, they are not considered like terms.


How can the context-free grammar CFG be defined in terms of the variables i, j, and k, where i is equal to j plus k, and the grammar generates strings consisting of a raised to the power of i, b raised to the power of j, and c raised to the power of k?

In the context-free grammar CFG, the variables i, j, and k represent the exponents of a, b, and c respectively in the generated strings. The variable i is equal to the sum of j and k. The grammar produces strings with a raised to the power of i, b raised to the power of j, and c raised to the power of k.


What is the difference between a linear equation with one variable and a linear equation with two variables?

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.


What are variable raised to whole number powers?

They are the integer powers of that variable.


Are x and 9x like terms?

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.