# 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.