APPLICATION IN SQUARING
Polynomial of Class 9
TERMS AND THEIR COEFFICIENTS:
If 
is a polynomial in variable x, then 
and 
are known as the terms of polynomial 
and respectively are known as their coefficients, where 
is non-zero quantity and 
is called the constant term.
In the polynomial 
the coefficient of 
is 0 whereas the constant term is – 8.
question Write the coefficients of 
in each of the following.
(i) (ii) 
(iii) 
Solution: (i) Coefficient of 
is 5.
(ii) Coefficient of is –2.
(iii) Polynomial can be written as 
coefficient of 
is a + d.
question Write the coefficients of 
in each of the following.
(i) 
(ii) 
Solution: (i) Coefficient of 
is 0.
(ii) Coefficient of is –2.
DEGREE OF THE POLYNOMIAL:
Highest Index of x in algebraic expression is called the degree of the polynomial, here a0, a1x, a2x2 .....anxn, are called the terms of the polynomial and a0. a1, a2......, an are called various coefficients of the polynomial f(x).
In the given expression if 
is non zero then this polynomial has degree n.
Things to remember - A polynomial in x is said to be in standard form when the terms are written either in increasing order or decreasing order of the indices of x in various terms.
e.g.
1.
highest degree of this polynomial is 5.
2.
highest degree of this polynomial is 10.
3. highest degree of this polynomial is 3.
