In simple terms, the highest power of the variable occurring in the polynomial is said
to be the degree of the polynomial.For instance, if the highest power of the variable in a polynomial is 1 then the degree
of the polynomial is 1, and the polynomial is also called as a linear polynomial.Note :- If the highest power of the variable is 1, then the polynomial is linear.
- If the highest power of the variable is 2, then the polynomial is quadratic.
- If the highest power of the variable is 3, then the polynomial is cubic.
- If the highest power of the variable is 4, then the polynomial is bi-quadratic.
- If the highest power of the variable is 5, then the polynomial is quintic.
The idea of order of a polynomial is to be explained to the child orally followed by
necessary input in finding the order of a polynomial.
- Ascending order polynomial
If the terms of a polynomial are in the increasing order with respect to their degrees,
then the polynomial is said to be in ascending order.
Eg. : 3 – 4x + 5x^2 – 7 x^3
As the child has already been exposed to the idea of ascending order involving numbers
the concept of ascending order polynomial may be understood by the child without
much difficulty.- Descending order polynomial
If the terms of polynomial are in the decreasing order with respect to their degrees,
then the polynomial is said to be in descending order.
Eg. : 6x^4 – 5x^3 + 4x^2 + 3x - 33As the child is already familiar with the idea of descending order involving numbers
he/she may be able to understand the idea of descending order polynomial.