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SS1: MATHEMATICS - 2ND TERM

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  • Factorization of Quadratic Expressions I
    • Quadratic expression of the form x2 + bx + c

Quadratic expression of the form x2 + bx + c

The general form of a quadratic expression is ax2 + bx + c, where a, b and c are constants

a \( \scriptsize \neq 0 \)

a is the coefficient of x2 and b is the coefficient of x and c is a constant term. When a = 1, ax2 + bx + c becomes x2 + bx + c, and is called a simple trinomial .

In general, quadratic equations are raised to the power of 2. It is important to note that there are three algebraic methods of solving quadratic equations.

These are:

  • Factorization.
  • Method of completing the square.
  • Using the factor formula.
  • The fourth method is by geometry, i.e. using a graph (graphical method).

The factorization method is considered first.

Factorization of Quadratic Equation by Splitting the Middle Term:

In order to factorise a quadratic expression of the 

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