What is a polynomial?
A polynomial is a chain of algebraic terms with various values of powers. There are
some words and phrases to look out for when you're dealing with polynomials:
● variable - The part of an expression that can have a changing value. In
the variable is
● co-efficient - The number before a variable showing how much it is multiplied by.
In , and are coefficients
● index - The power of a variable. In , the of and the of
are indices (plural of index)
● degree - The index of the highest power. In the degree is
● constant - A number that does not contain the variable. In , the
constant is
is a polynomial in of degree .
is a polynomial in of degree .
Is it a polynomial?
For the expression to be a polynomial the index of any variable must be a positive
whole number
Question
Is a polynomial?
No. is not a polynomial.
Another way of writing is as .
This index is a fraction not a whole number. That is why this is not a polynomial.
1
A polynomial is a chain of algebraic terms with various values of powers. There are
some words and phrases to look out for when you're dealing with polynomials:
● variable - The part of an expression that can have a changing value. In
the variable is
● co-efficient - The number before a variable showing how much it is multiplied by.
In , and are coefficients
● index - The power of a variable. In , the of and the of
are indices (plural of index)
● degree - The index of the highest power. In the degree is
● constant - A number that does not contain the variable. In , the
constant is
is a polynomial in of degree .
is a polynomial in of degree .
Is it a polynomial?
For the expression to be a polynomial the index of any variable must be a positive
whole number
Question
Is a polynomial?
No. is not a polynomial.
Another way of writing is as .
This index is a fraction not a whole number. That is why this is not a polynomial.
1
