# Algebra.

CAT Algebra test 1.2

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## Expanding.

• When we expand single brackets. Each term in the brackets is multiplied by the term infront.
• 4(x+2)
• =4x+8
• When we expand quadratics each term in the first brackets is multiplied by each term in the second.
• (x+2)(x+6)
• =x*+2x+6x+12
• =x*+8x+12
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## Factorising.

• When factorising single brackets remember to look for the lowest number that goes into each bracket.
• 16x+16y
• =16(x+y)
• When factorising Quadratics remember to find a number that multiplies to get the single number and adds to get the x co-efficient.
• x*-6x+9
• =(x-3)(x-3)
• =(x-3)*
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## Factorising when the subject of x is not 1

Factorise 2x*+14x+12

• 1- Multiply the coefficient of x with the constant term
• 2 by 12 = 24
• 2- List the factors of this number
• 1,24--2,12--3,8--4,6
• 3-Find the pair of numbers that add to the middle term
• 2+12=24
• 4- Rewrite the quadratic expression using these pairs of numbers
• 2x*+2x+12x+12
• 5- Factorise each pair of terms
• 2x(x+1)+12(x+1)
• 6- Factorise again
• (2x+12)(x+1)
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