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 - 33
As 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.