# Maths Core 1 Notes

Basic Maths AS Notes

- Created by: A.
- Created on: 20-12-11 11:28

First 175 words of the document:

Core 1 Mathematics A.

Algebra and Functions

Laws of indices

m+n

am x an = a

m-n

am ÷ an = a

a-m =

a 1/m =

an/m =

mn

(am)n = a

a0 = 1

A quadratic expression has the form ax2 + bx + c , where a, b and c are constants and a 0

Surds

ab = a × b

a a

b = b

When rationalizing surds:

The form 1a is multiplied from the top and the bottom by a

The form 1

a+ b

is multiplied from the top and the bottom by a - b

The form 1

a-b

is multiplied from the top and the bottom by a + b

Quadratic Functions

The formula

x = -b±2

2

b -4ac

a

Completing square

2 b 2

x2 + bx = (x + b

2 ) - ( 2 )

To sketch a quadratic graph:

a>0

a < 0

Discriminant

b2 4ac

Roots

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