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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