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#Multiply the factors of ax^2 with the factors of the constant term and they should add to bx
 
#Multiply the factors of ax^2 with the factors of the constant term and they should add to bx
 
#Re-arrange the factors diagonally and write them in two brackets
 
#Re-arrange the factors diagonally and write them in two brackets
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[[Category:Mathematics]]
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[[Category:Algebra]]

Revision as of 04:08, June 22, 2013

A quadratic expression is an expression with a highest power of x, as 2 or an equation with degreee 2 and the general orm is:


ax^2 + bx+C where a, b and c are numbers.

Type 1

(For an expression with a coefficient of x equal to 1, (a=1), the given method can be used to factorise)

Method

  1. Find 2 factors of the Constant Term (c), which should add to a coefficient of x
  2. Write the xpression as a product of two brackets, with a factor in each bracket

Type 2

(Where the coefficient of x^2 is not a common factor)

Method

  1. Factorise by having the common factor outside the bracket and a quadratic expression inside the bracket
  2. Furthur factorise the quadratic.

Type 3

(Where the coefficient of x^2 is not 1 (But not a common factor))

Method

  1. Write ax^2 as two factors and c as two factors.
  2. Multiply the factors of ax^2 with the factors of the constant term and they should add to bx
  3. Re-arrange the factors diagonally and write them in two brackets
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