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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 ax + 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) x2 + 3x
(b) 2x2 − 6x + 10
Factorization of quadratic expressions:
Examples: (i) Factorize the following quadratic expressions
(a) x2 + 4x
(b) 2x2 − 8x
Solution:
(a) x2 + 4x
x is a common factor of the terms x2 and 4x.
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