Factorising

## Factorising

**Factorising**is the opposite of expanding bracketsYou need to look for the largest factors you can take out of every term in the expression

## Factorising x^2 + bx + c

You need to write the expression with two brackets

x^2 + 7x + 10

You need to find two numbers which add up to 7 and multiply to make 10

5+2=7

5x2=10

When factorising x^2 + bx + x use this table to help find the two numbers

b | c | Factors |
---|---|---|

Positive | Positive | Both numbers positive |

Positive | Negative | Bigger number positive and smaller number negative |

Negative | Negative | Bigger number negative and smaller number positive |

Negative | Positive | Both numbers negative |

## Factorising ax^2 + bx + x

One of the brackets must contain a ax term

Try pairs of numbers which have a product of c

Check each pair by multiplying out the brackets

## Difference of two squares

You can factorise expression that are written as something^2 - something else^2

# Factorising

## Factorising

**Factorising**is the opposite of expanding bracketsYou need to look for the largest factors you can take out of every term in the expression

## Factorising x^2 + bx + c

You need to write the expression with two brackets

x^2 + 7x + 10

You need to find two numbers which add up to 7 and multiply to make 10

5+2=7

5x2=10

When factorising x^2 + bx + x use this table to help find the two numbers

b | c | Factors |
---|---|---|

Positive | Positive | Both numbers positive |

Positive | Negative | Bigger number positive and smaller number negative |

Negative | Negative | Bigger number negative and smaller number positive |

Negative | Positive | Both numbers negative |

## Factorising ax^2 + bx + x

One of the brackets must contain a ax term

Try pairs of numbers which have a product of c

Check each pair by multiplying out the brackets

## Difference of two squares

You can factorise expression that are written as something^2 - something else^2