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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.
Terms with the same variables raised to the same exponent?
Like terms
What is the degree of a polynomial having one term and single variable?
It depends on the power to which the single variable is raised in that one term.
Is xy equals 6 a linear equation?
Yes. You can tell by the fact that both variables are raised to the first power.
Is 6 a polynomial?
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.
What are terms that have identical variable parts with corresponding variables raised to the same power?
They are "like terms".
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.
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.
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.
What is a like term of 5x?
A like term of 5x is any term that has the same variable raised to the same power. For example, 3x or -2x are like terms of 5x because they both contain the variable x raised to the first power. Like terms can be combined through addition or subtraction, while terms with different variables or powers cannot be combined.
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 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 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.
Why can't a polynomial contain a variable raised to a negative power?
because you cant raise a number negatively exponentially
What exactly has the same variable and exponents?
In algebra, expressions that have the same variable and exponents are considered like terms. For example, the terms (3x^2) and (5x^2) are like terms because they both contain the variable (x) raised to the same exponent of 2. Like terms can be combined through addition or subtraction, while terms with different variables or exponents cannot be combined in this way.
Terms that contain tha same variables to the same power?
Terms that contain the same variables raised to the same powers are called "like terms." For example, (3x^2y) and (5x^2y) are like terms because they both include the variables (x) and (y) raised to the same powers (2 and 1, respectively). Like terms can be combined by adding or subtracting their coefficients, which simplifies expressions in algebra.
