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Core Mathematics 1

Formulae
Algebra and Functions -±2 -4
2 + + = 0 = 2
Sequences and Series = + ( - 1)

= ( + ) = [2 + ( - 1)]
2 2
Differentiation
=

= -1

Integration = = +1 +1 + , ( -1)


Notes…

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2 + + = 0 =
-±2 -4 To solve a quadratic equation:
2
Use factorisation
2 + + = 0 2 - 4 = 2
Use completion of square
2 + + = 0 2 - 4 > 0; two roots
Use the quadratic formula
2 + + =…

Page 3

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= ( + ) = [2 + ( - 1)]
2 2
= + ( + ) + + [ + ( - 2)] +
[ + ( - 1)]
= [ + ( - 1)] + [ + ( - 2)] + +
( + ) +
2 =…

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