# QUADRATIC EQUATIONS

CONTENT

- Revision of linear and quadratic expressions
- Solution of quadratic expression of the form ab = 0, a = 0
*or*b = 0 - Formation of quadratic equation with given roots

**REVISION OF LINEAR AND QUADRATIC EXPRESSIONS**

Any expression in which highest power of the unknown is 1 is called a linear expression. Some examples of linear expressions are: (a) x + 1 (b) 2y + 3 (c) p = −1/2

In general, linear expressions are expressions of the form a*x* + b, where a & b are constants and x is a variable.

A quadratic expression is that whose highest power of the unknown is 2. Examples are:

(a) *x*^{2} + 3*x*

(b) 2*x*^{2} − 6*x* + 10

Factorization of quadratic expressions:

Examples: (i) Factorize the following quadratic expressions

(a) *x*^{2} + 4*x*

(b) 2*x*^{2} − 8*x*

Solution:

(a) *x*^{2} + 4*x*

*x* is a common factor of the terms *x*^{2} and 4*x*.

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