Free Printable A Level Further Maths Core Pure Year 1 Chapter 4: Mini test

Worksheets

Name

Class

Date

ax + b = 0

x = b/a

x = -b/a

helps us remember the singles are always -b/a

For a polynomial labelled "normally", i.e. axⁿ+ bx^n-1+ ... , Σ αβγδ =

-d/a

f/a

e/a

-e/a

If roots become 2α + 1, what do we substitute?

Let w = 2x + 1 and sub 2x + 1 into original

Let x = 2w + 1 and sub (x-1)/2 into original

Let x = 2w + 1 and sub 2w + 1 into original

Let w = 2x + 1 and sub (w-1)/2 into original

α²+ β²+ γ²=

(α + β + γ)²- 2(αβ + αγ + βγ)

(α + β + γ)²- 2(αβγ)

(αβ + αγ + βγ)²- 2(α + β + γ)

(α + β + γ)³- 3(αβ + αγ + βγ)

100 %

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